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Finding the Fourth Proportional to 13,851.38, 20,777.52 and 3,991.16

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Solution

The fourth proportional to 13,851.38, 20,777.52 and 3,991.16 is: 5,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.38 : 20,777.52 = 3,991.16 : x
  2. Step 2: Convert to fraction form
    13,851.38/20,777.52 = 3,991.16/x
  3. Step 3: Cross multiply
    13,851.38x = 20,777.52 × 3,991.16
  4. Step 4: Simplify right side
    13,851.38x = 82,926,406.72
  5. Step 5: Solve for x
    x = 82,926,406.72/13,851.38
  6. Step 6: Final answer
    x = 5,986.87

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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.