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Finding the Fourth Proportional to 13,770.28, 20,648.10 and 5,449.96

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Solution

The fourth proportional to 13,770.28, 20,648.10 and 5,449.96 is: 8,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.28 : 20,648.10 = 5,449.96 : x
  2. Step 2: Convert to fraction form
    13,770.28/20,648.10 = 5,449.96/x
  3. Step 3: Cross multiply
    13,770.28x = 20,648.10 × 5,449.96
  4. Step 4: Simplify right side
    13,770.28x = 112,531,319.08
  5. Step 5: Solve for x
    x = 112,531,319.08/13,770.28
  6. Step 6: Final answer
    x = 8,172.04

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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.