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Finding the Fourth Proportional to 22,352.38, 30,845.18 and 13,398.14

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Solution

The fourth proportional to 22,352.38, 30,845.18 and 13,398.14 is: 18,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.38 : 30,845.18 = 13,398.14 : x
  2. Step 2: Convert to fraction form
    22,352.38/30,845.18 = 13,398.14/x
  3. Step 3: Cross multiply
    22,352.38x = 30,845.18 × 13,398.14
  4. Step 4: Simplify right side
    22,352.38x = 413,267,972.97
  5. Step 5: Solve for x
    x = 413,267,972.97/22,352.38
  6. Step 6: Final answer
    x = 18,488.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.