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Finding the Fourth Proportional to 20,174.92, 27,843.96 and 12,217.48

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Solution

The fourth proportional to 20,174.92, 27,843.96 and 12,217.48 is: 16,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.92 : 27,843.96 = 12,217.48 : x
  2. Step 2: Convert to fraction form
    20,174.92/27,843.96 = 12,217.48/x
  3. Step 3: Cross multiply
    20,174.92x = 27,843.96 × 12,217.48
  4. Step 4: Simplify right side
    20,174.92x = 340,183,024.42
  5. Step 5: Solve for x
    x = 340,183,024.42/20,174.92
  6. Step 6: Final answer
    x = 16,861.68

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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.