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Finding the Fourth Proportional to 24,144.38, 36,213.49 and 9,343.17

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Solution

The fourth proportional to 24,144.38, 36,213.49 and 9,343.17 is: 14,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.38 : 36,213.49 = 9,343.17 : x
  2. Step 2: Convert to fraction form
    24,144.38/36,213.49 = 9,343.17/x
  3. Step 3: Cross multiply
    24,144.38x = 36,213.49 × 9,343.17
  4. Step 4: Simplify right side
    24,144.38x = 338,348,805.04
  5. Step 5: Solve for x
    x = 338,348,805.04/24,144.38
  6. Step 6: Final answer
    x = 14,013.56

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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.