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Finding the Fourth Proportional to 13,414.40, 20,105.76 and 5,621.12

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Solution

The fourth proportional to 13,414.40, 20,105.76 and 5,621.12 is: 8,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.40 : 20,105.76 = 5,621.12 : x
  2. Step 2: Convert to fraction form
    13,414.40/20,105.76 = 5,621.12/x
  3. Step 3: Cross multiply
    13,414.40x = 20,105.76 × 5,621.12
  4. Step 4: Simplify right side
    13,414.40x = 113,016,889.65
  5. Step 5: Solve for x
    x = 113,016,889.65/13,414.40
  6. Step 6: Final answer
    x = 8,425.04

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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.