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Finding the Fourth Proportional to 13,717.87, 20,613.72 and 13,311.92

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Solution

The fourth proportional to 13,717.87, 20,613.72 and 13,311.92 is: 20,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.87 : 20,613.72 = 13,311.92 : x
  2. Step 2: Convert to fraction form
    13,717.87/20,613.72 = 13,311.92/x
  3. Step 3: Cross multiply
    13,717.87x = 20,613.72 × 13,311.92
  4. Step 4: Simplify right side
    13,717.87x = 274,408,191.54
  5. Step 5: Solve for x
    x = 274,408,191.54/13,717.87
  6. Step 6: Final answer
    x = 20,003.70

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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.