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Finding the Fourth Proportional to 24,218.74, 36,337.43 and 9,438.13

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Solution

The fourth proportional to 24,218.74, 36,337.43 and 9,438.13 is: 14,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,218.74 : 36,337.43 = 9,438.13 : x
  2. Step 2: Convert to fraction form
    24,218.74/36,337.43 = 9,438.13/x
  3. Step 3: Cross multiply
    24,218.74x = 36,337.43 × 9,438.13
  4. Step 4: Simplify right side
    24,218.74x = 342,957,388.21
  5. Step 5: Solve for x
    x = 342,957,388.21/24,218.74
  6. Step 6: Final answer
    x = 14,160.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.