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Finding the Fourth Proportional to 13,469.28, 20,202.39 and 5,149.11

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Solution

The fourth proportional to 13,469.28, 20,202.39 and 5,149.11 is: 7,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.28 : 20,202.39 = 5,149.11 : x
  2. Step 2: Convert to fraction form
    13,469.28/20,202.39 = 5,149.11/x
  3. Step 3: Cross multiply
    13,469.28x = 20,202.39 × 5,149.11
  4. Step 4: Simplify right side
    13,469.28x = 104,024,328.37
  5. Step 5: Solve for x
    x = 104,024,328.37/13,469.28
  6. Step 6: Final answer
    x = 7,723.08

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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.