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Finding the Fourth Proportional to 13,732.31, 20,599.68 and 3,871.69

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Solution

The fourth proportional to 13,732.31, 20,599.68 and 3,871.69 is: 5,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.31 : 20,599.68 = 3,871.69 : x
  2. Step 2: Convert to fraction form
    13,732.31/20,599.68 = 3,871.69/x
  3. Step 3: Cross multiply
    13,732.31x = 20,599.68 × 3,871.69
  4. Step 4: Simplify right side
    13,732.31x = 79,755,575.06
  5. Step 5: Solve for x
    x = 79,755,575.06/13,732.31
  6. Step 6: Final answer
    x = 5,807.88

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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.