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Finding the Fourth Proportional to 22,414.70, 33,609.90 and 9,252.20

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Solution

The fourth proportional to 22,414.70, 33,609.90 and 9,252.20 is: 13,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.70 : 33,609.90 = 9,252.20 : x
  2. Step 2: Convert to fraction form
    22,414.70/33,609.90 = 9,252.20/x
  3. Step 3: Cross multiply
    22,414.70x = 33,609.90 × 9,252.20
  4. Step 4: Simplify right side
    22,414.70x = 310,965,516.78
  5. Step 5: Solve for x
    x = 310,965,516.78/22,414.70
  6. Step 6: Final answer
    x = 13,873.28

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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.