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Finding the Fourth Proportional to 13,679.50, 20,517.42 and 5,353.72

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Solution

The fourth proportional to 13,679.50, 20,517.42 and 5,353.72 is: 8,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.50 : 20,517.42 = 5,353.72 : x
  2. Step 2: Convert to fraction form
    13,679.50/20,517.42 = 5,353.72/x
  3. Step 3: Cross multiply
    13,679.50x = 20,517.42 × 5,353.72
  4. Step 4: Simplify right side
    13,679.50x = 109,844,521.80
  5. Step 5: Solve for x
    x = 109,844,521.80/13,679.50
  6. Step 6: Final answer
    x = 8,029.86

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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.