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Finding the Fourth Proportional to 13,746, 20,616.68 and 3,882.96

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Solution

The fourth proportional to 13,746, 20,616.68 and 3,882.96 is: 5,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746 : 20,616.68 = 3,882.96 : x
  2. Step 2: Convert to fraction form
    13,746/20,616.68 = 3,882.96/x
  3. Step 3: Cross multiply
    13,746x = 20,616.68 × 3,882.96
  4. Step 4: Simplify right side
    13,746x = 80,053,743.77
  5. Step 5: Solve for x
    x = 80,053,743.77/13,746
  6. Step 6: Final answer
    x = 5,823.78

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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.