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Finding the Fourth Proportional to 12,736.16, 17,575.62 and 7,431.50

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Solution

The fourth proportional to 12,736.16, 17,575.62 and 7,431.50 is: 10,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,736.16 : 17,575.62 = 7,431.50 : x
  2. Step 2: Convert to fraction form
    12,736.16/17,575.62 = 7,431.50/x
  3. Step 3: Cross multiply
    12,736.16x = 17,575.62 × 7,431.50
  4. Step 4: Simplify right side
    12,736.16x = 130,613,220.03
  5. Step 5: Solve for x
    x = 130,613,220.03/12,736.16
  6. Step 6: Final answer
    x = 10,255.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.