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Finding the Fourth Proportional to 13,487.68, 20,234.24 and 5,696.48

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Solution

The fourth proportional to 13,487.68, 20,234.24 and 5,696.48 is: 8,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.68 : 20,234.24 = 5,696.48 : x
  2. Step 2: Convert to fraction form
    13,487.68/20,234.24 = 5,696.48/x
  3. Step 3: Cross multiply
    13,487.68x = 20,234.24 × 5,696.48
  4. Step 4: Simplify right side
    13,487.68x = 115,263,943.48
  5. Step 5: Solve for x
    x = 115,263,943.48/13,487.68
  6. Step 6: Final answer
    x = 8,545.87

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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.