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Finding the Fourth Proportional to 24,425.02, 36,640.17 and 8,839.18

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Solution

The fourth proportional to 24,425.02, 36,640.17 and 8,839.18 is: 13,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.02 : 36,640.17 = 8,839.18 : x
  2. Step 2: Convert to fraction form
    24,425.02/36,640.17 = 8,839.18/x
  3. Step 3: Cross multiply
    24,425.02x = 36,640.17 × 8,839.18
  4. Step 4: Simplify right side
    24,425.02x = 323,869,057.86
  5. Step 5: Solve for x
    x = 323,869,057.86/24,425.02
  6. Step 6: Final answer
    x = 13,259.73

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Why These Related Problems?

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