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Finding the Fourth Proportional to 22,874.40, 34,318.08 and 13,522.68

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Solution

The fourth proportional to 22,874.40, 34,318.08 and 13,522.68 is: 20,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.40 : 34,318.08 = 13,522.68 : x
  2. Step 2: Convert to fraction form
    22,874.40/34,318.08 = 13,522.68/x
  3. Step 3: Cross multiply
    22,874.40x = 34,318.08 × 13,522.68
  4. Step 4: Simplify right side
    22,874.40x = 464,072,414.05
  5. Step 5: Solve for x
    x = 464,072,414.05/22,874.40
  6. Step 6: Final answer
    x = 20,287.85

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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.