Find the equivalent ratio for [tex]18:27 = 16:\_\_\_[/tex].

1)\ \ \ \frac{18}{27} = \frac{18:9}{27:9} = \frac{2}{3} = \frac{2\cdot 8}{3\cdot 8} = \frac{16}{24}\\\\or\\\\2)\ \ \ 18:27=16:x\ \ \ \Leftrightarrow\ \ \ \frac{18}{27}= \frac{16}{x} \ \ \ \Leftrightarrow\ \ \ 18\cdot x=27\cdot16\ /:18\\\\x= \frac{\big{27\cdot16}}{\big{18}} \ \ \ \Rightarrow\ \ \ x= \frac{\big{9\cdot3\cdot2\cdot8}}{\big{9\cdot2}} \ \ \ \Rightarrow\ \ \ x=3\cdot8 \ \ \ \Rightarrow\ \ \ x=24\\\\\\Ans.\ \ 24

Answered by kate200468 | 2024-06-10

the answer would be 24

Answered by Anonymous | 2024-06-10

To find the equivalent ratio for 18 : 27 = 16 : x , we set up a proportion and solve for x . The solution gives us x = 24 , making the equivalent ratio 18 : 27 = 16 : 24 .
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Answered by kate200468 | 2024-10-01