Sum the largest 5 of the last 10 numbers in a row ignoring blanks

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Assume a single row of data with numbers and blanks appearing at random intervals.  The objective is to sum the largest 5 of last 10 numbers in that row.  Solving this problem entails multiple steps:

  1. Identify the last 10 numbers in that row i.e. starting from the right hand side, identify the last 10 numbers
  2. Identify the largest 5 of those 10 numbers
  3. Sum those largest 5 numbers

Here are the steps

  1. Suppose the numbers and blanks are in range A2:V2
  2. Type 10 in cell X1
  3. Enter this array formula (Ctrl+Shift+Enter) in cell X2

=SUM(SMALL(IF((SUBTOTAL(2,OFFSET(V2,,,1,(COLUMN($A2:$V2)-COLUMN(W2))))<=X$1)*($A2:$V2)=0,FALSE,(SUBTOTAL(2,OFFSET(V2,,,1,(COLUMN($A2:$V2)-COLUMN(W2))))<=X$1)*($A2:$V2)),{1,2,3,4,5}))

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  1. Nice tip. But I think this should also work.

    =SUM(LARGE(OFFSET(Q4,0,-(10+SUM(ISBLANK($A$4:$Q$4)*1)-1,1,10+SUM(ISBLANK($A$4:$Q$4)*1)),ROW(A1:A5)))

    Assuming data is arranged in A4 to Q4

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