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Finding the Fourth Proportional to 13,657.72, 20,469.56 and 5,857.42

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Solution

The fourth proportional to 13,657.72, 20,469.56 and 5,857.42 is: 8,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.72 : 20,469.56 = 5,857.42 : x
  2. Step 2: Convert to fraction form
    13,657.72/20,469.56 = 5,857.42/x
  3. Step 3: Cross multiply
    13,657.72x = 20,469.56 × 5,857.42
  4. Step 4: Simplify right side
    13,657.72x = 119,898,810.14
  5. Step 5: Solve for x
    x = 119,898,810.14/13,657.72
  6. Step 6: Final answer
    x = 8,778.83

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