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Finding the Fourth Proportional to 13,452.71, 20,179.03 and 6,411.38

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Solution

The fourth proportional to 13,452.71, 20,179.03 and 6,411.38 is: 9,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.71 : 20,179.03 = 6,411.38 : x
  2. Step 2: Convert to fraction form
    13,452.71/20,179.03 = 6,411.38/x
  3. Step 3: Cross multiply
    13,452.71x = 20,179.03 × 6,411.38
  4. Step 4: Simplify right side
    13,452.71x = 129,375,429.36
  5. Step 5: Solve for x
    x = 129,375,429.36/13,452.71
  6. Step 6: Final answer
    x = 9,617.05

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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.