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Finding the Fourth Proportional to 13,469.38, 20,204.19 and 4,109.27

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Solution

The fourth proportional to 13,469.38, 20,204.19 and 4,109.27 is: 6,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.38 : 20,204.19 = 4,109.27 : x
  2. Step 2: Convert to fraction form
    13,469.38/20,204.19 = 4,109.27/x
  3. Step 3: Cross multiply
    13,469.38x = 20,204.19 × 4,109.27
  4. Step 4: Simplify right side
    13,469.38x = 83,024,370.82
  5. Step 5: Solve for x
    x = 83,024,370.82/13,469.38
  6. Step 6: Final answer
    x = 6,163.94

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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.