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Finding the Fourth Proportional to 20,098.54, 27,737.67 and 11,715.58

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Solution

The fourth proportional to 20,098.54, 27,737.67 and 11,715.58 is: 16,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.54 : 27,737.67 = 11,715.58 : x
  2. Step 2: Convert to fraction form
    20,098.54/27,737.67 = 11,715.58/x
  3. Step 3: Cross multiply
    20,098.54x = 27,737.67 × 11,715.58
  4. Step 4: Simplify right side
    20,098.54x = 324,962,891.90
  5. Step 5: Solve for x
    x = 324,962,891.90/20,098.54
  6. Step 6: Final answer
    x = 16,168.48

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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.