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Finding the Fourth Proportional to 16,512.80, 24,769.20 and 13,742.60

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Solution

The fourth proportional to 16,512.80, 24,769.20 and 13,742.60 is: 20,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.80 : 24,769.20 = 13,742.60 : x
  2. Step 2: Convert to fraction form
    16,512.80/24,769.20 = 13,742.60/x
  3. Step 3: Cross multiply
    16,512.80x = 24,769.20 × 13,742.60
  4. Step 4: Simplify right side
    16,512.80x = 340,393,207.92
  5. Step 5: Solve for x
    x = 340,393,207.92/16,512.80
  6. Step 6: Final answer
    x = 20,613.90

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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.