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Finding the Fourth Proportional to 20,098.26, 27,737.28 and 11,148.57

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Solution

The fourth proportional to 20,098.26, 27,737.28 and 11,148.57 is: 15,385.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.26 : 27,737.28 = 11,148.57 : x
  2. Step 2: Convert to fraction form
    20,098.26/27,737.28 = 11,148.57/x
  3. Step 3: Cross multiply
    20,098.26x = 27,737.28 × 11,148.57
  4. Step 4: Simplify right side
    20,098.26x = 309,231,007.69
  5. Step 5: Solve for x
    x = 309,231,007.69/20,098.26
  6. Step 6: Final answer
    x = 15,385.96

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