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Finding the Fourth Proportional to 17,613.60, 24,306.12 and 9,655.65

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Solution

The fourth proportional to 17,613.60, 24,306.12 and 9,655.65 is: 13,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.60 : 24,306.12 = 9,655.65 : x
  2. Step 2: Convert to fraction form
    17,613.60/24,306.12 = 9,655.65/x
  3. Step 3: Cross multiply
    17,613.60x = 24,306.12 × 9,655.65
  4. Step 4: Simplify right side
    17,613.60x = 234,691,387.58
  5. Step 5: Solve for x
    x = 234,691,387.58/17,613.60
  6. Step 6: Final answer
    x = 13,324.45

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Why These Related Problems?

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