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Finding the Fourth Proportional to 20,098.11, 27,744.92 and 13,394.91

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Solution

The fourth proportional to 20,098.11, 27,744.92 and 13,394.91 is: 18,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.11 : 27,744.92 = 13,394.91 : x
  2. Step 2: Convert to fraction form
    20,098.11/27,744.92 = 13,394.91/x
  3. Step 3: Cross multiply
    20,098.11x = 27,744.92 × 13,394.91
  4. Step 4: Simplify right side
    20,098.11x = 371,640,639.38
  5. Step 5: Solve for x
    x = 371,640,639.38/20,098.11
  6. Step 6: Final answer
    x = 18,491.32

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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.