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Finding the Fourth Proportional to 13,453.43, 20,171.03 and 6,874.20

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Solution

The fourth proportional to 13,453.43, 20,171.03 and 6,874.20 is: 10,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.43 : 20,171.03 = 6,874.20 : x
  2. Step 2: Convert to fraction form
    13,453.43/20,171.03 = 6,874.20/x
  3. Step 3: Cross multiply
    13,453.43x = 20,171.03 × 6,874.20
  4. Step 4: Simplify right side
    13,453.43x = 138,659,660.06
  5. Step 5: Solve for x
    x = 138,659,660.06/13,453.43
  6. Step 6: Final answer
    x = 10,306.64

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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.