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Default MAX only Rows in Range where another Row is Not Blank

I have some staggard data. There are categories in column D. There are
sub-categories in column E. Then some Descriptions in column F. And
finally there are some corresponding numbers in column H. I'm trying to do
a MAX function only on the values in column H where the cell in the same row
in column F is NOT blank. So in my example, the max function should only be
looking at rows (3,4,6,9,10,12,15,17,19,21,23). The MAX of the numbers in
column H of these rows, as you know, would be 21. Is there a way to do
this? Thanks. Paul

D E F G H
1 Cat 24
2 SubCat 22
3 Desc1 20
4 Desc2 2
5 SubCat2 22
6 Desc1 2
7 Cat2 22
8 SubCat1 14
9 Desc1 8
10 Desc2 6
11 SubCat2 8
12 Desc1 8
13 Cat3 21
14 SubCat1 10
15 Desc1 21
16 SubCat2 6
17 Desc1 6
18 SubCat3 2
19 Desc1 2
20 SubCat4 2
21 Desc1 2
22 SubCat5 1
23 Desc1 1
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