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Finding the Fourth Proportional to 13,851.87, 20,777.82 and 3,463.62

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Solution

The fourth proportional to 13,851.87, 20,777.82 and 3,463.62 is: 5,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.87 : 20,777.82 = 3,463.62 : x
  2. Step 2: Convert to fraction form
    13,851.87/20,777.82 = 3,463.62/x
  3. Step 3: Cross multiply
    13,851.87x = 20,777.82 × 3,463.62
  4. Step 4: Simplify right side
    13,851.87x = 71,966,472.91
  5. Step 5: Solve for x
    x = 71,966,472.91/13,851.87
  6. Step 6: Final answer
    x = 5,195.43

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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.