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Finding the Fourth Proportional to 13,469.87, 20,204.92 and 4,704.78

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Solution

The fourth proportional to 13,469.87, 20,204.92 and 4,704.78 is: 7,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.87 : 20,204.92 = 4,704.78 : x
  2. Step 2: Convert to fraction form
    13,469.87/20,204.92 = 4,704.78/x
  3. Step 3: Cross multiply
    13,469.87x = 20,204.92 × 4,704.78
  4. Step 4: Simplify right side
    13,469.87x = 95,059,771.93
  5. Step 5: Solve for x
    x = 95,059,771.93/13,469.87
  6. Step 6: Final answer
    x = 7,057.22

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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.