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Default search an array in reverse (bottom to top) order

I am using an INDEX & MATCH formula to search for the occurrence of a
specific text string within an array. I used the following formula:
=INDEX($A$1:$A$20,MATCH("*Specific Text String*",$B$1:$B$20,0)) But this
formula works its way down the array giving me the first occurrence of the
"Specific Text". What I want is the last occurrence (or the one closest to
the end of the array). Please help.
 
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