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Finding the Fourth Proportional to 13,538.44, 20,309.12 and 3,677.88

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Solution

The fourth proportional to 13,538.44, 20,309.12 and 3,677.88 is: 5,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.44 : 20,309.12 = 3,677.88 : x
  2. Step 2: Convert to fraction form
    13,538.44/20,309.12 = 3,677.88/x
  3. Step 3: Cross multiply
    13,538.44x = 20,309.12 × 3,677.88
  4. Step 4: Simplify right side
    13,538.44x = 74,694,506.27
  5. Step 5: Solve for x
    x = 74,694,506.27/13,538.44
  6. Step 6: Final answer
    x = 5,517.22

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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.