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Finding the Fourth Proportional to 20,091.87, 30,167.24 and 19,737.54

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Solution

The fourth proportional to 20,091.87, 30,167.24 and 19,737.54 is: 29,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.87 : 30,167.24 = 19,737.54 : x
  2. Step 2: Convert to fraction form
    20,091.87/30,167.24 = 19,737.54/x
  3. Step 3: Cross multiply
    20,091.87x = 30,167.24 × 19,737.54
  4. Step 4: Simplify right side
    20,091.87x = 595,427,007.50
  5. Step 5: Solve for x
    x = 595,427,007.50/20,091.87
  6. Step 6: Final answer
    x = 29,635.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.