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Finding the Fourth Proportional to 17,613.05, 24,306.08 and 9,655.40

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Solution

The fourth proportional to 17,613.05, 24,306.08 and 9,655.40 is: 13,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.05 : 24,306.08 = 9,655.40 : x
  2. Step 2: Convert to fraction form
    17,613.05/24,306.08 = 9,655.40/x
  3. Step 3: Cross multiply
    17,613.05x = 24,306.08 × 9,655.40
  4. Step 4: Simplify right side
    17,613.05x = 234,684,937.32
  5. Step 5: Solve for x
    x = 234,684,937.32/17,613.05
  6. Step 6: Final answer
    x = 13,324.50

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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.