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Finding the Fourth Proportional to 13,912.65, 20,872.08 and 5,147.37

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Solution

The fourth proportional to 13,912.65, 20,872.08 and 5,147.37 is: 7,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.65 : 20,872.08 = 5,147.37 : x
  2. Step 2: Convert to fraction form
    13,912.65/20,872.08 = 5,147.37/x
  3. Step 3: Cross multiply
    13,912.65x = 20,872.08 × 5,147.37
  4. Step 4: Simplify right side
    13,912.65x = 107,436,318.43
  5. Step 5: Solve for x
    x = 107,436,318.43/13,912.65
  6. Step 6: Final answer
    x = 7,722.20

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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.