Question 757440
{{{8/x=32/24}}}  First take the reciprocal of both sides
{{{x/8=24/32}}}  Multiply both sides by 8
{{{x=24(8)/32}}}  
{{{x=192/32}}} 
{{{x=6}}} 

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Alternate method
{{{8/x=32/24}}}  The right side can be simplified
{{{8/x=8/6}}} Since the numerators are equal the denominators have to be equal
therefore x = 6