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Finding the Fourth Proportional to 17,499.62, 24,149.04 and 9,542

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Solution

The fourth proportional to 17,499.62, 24,149.04 and 9,542 is: 13,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,499.62 : 24,149.04 = 9,542 : x
  2. Step 2: Convert to fraction form
    17,499.62/24,149.04 = 9,542/x
  3. Step 3: Cross multiply
    17,499.62x = 24,149.04 × 9,542
  4. Step 4: Simplify right side
    17,499.62x = 230,430,139.68
  5. Step 5: Solve for x
    x = 230,430,139.68/17,499.62
  6. Step 6: Final answer
    x = 13,167.72

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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.