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Finding the Fourth Proportional to 12,416.87, 18,614.81 and 5,391.56

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Solution

The fourth proportional to 12,416.87, 18,614.81 and 5,391.56 is: 8,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.87 : 18,614.81 = 5,391.56 : x
  2. Step 2: Convert to fraction form
    12,416.87/18,614.81 = 5,391.56/x
  3. Step 3: Cross multiply
    12,416.87x = 18,614.81 × 5,391.56
  4. Step 4: Simplify right side
    12,416.87x = 100,362,744.97
  5. Step 5: Solve for x
    x = 100,362,744.97/12,416.87
  6. Step 6: Final answer
    x = 8,082.78

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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.