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Finding the Fourth Proportional to 17,613.13, 24,306.14 and 9,655.64

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Solution

The fourth proportional to 17,613.13, 24,306.14 and 9,655.64 is: 13,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.13 : 24,306.14 = 9,655.64 : x
  2. Step 2: Convert to fraction form
    17,613.13/24,306.14 = 9,655.64/x
  3. Step 3: Cross multiply
    17,613.13x = 24,306.14 × 9,655.64
  4. Step 4: Simplify right side
    17,613.13x = 234,691,289.35
  5. Step 5: Solve for x
    x = 234,691,289.35/17,613.13
  6. Step 6: Final answer
    x = 13,324.80

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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.