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Finding the Fourth Proportional to 13,732.71, 20,597.25 and 3,872.78

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Solution

The fourth proportional to 13,732.71, 20,597.25 and 3,872.78 is: 5,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.71 : 20,597.25 = 3,872.78 : x
  2. Step 2: Convert to fraction form
    13,732.71/20,597.25 = 3,872.78/x
  3. Step 3: Cross multiply
    13,732.71x = 20,597.25 × 3,872.78
  4. Step 4: Simplify right side
    13,732.71x = 79,768,689.81
  5. Step 5: Solve for x
    x = 79,768,689.81/13,732.71
  6. Step 6: Final answer
    x = 5,808.66

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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.