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Finding the Fourth Proportional to 13,537.92, 20,306.84 and 3,678.64

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Solution

The fourth proportional to 13,537.92, 20,306.84 and 3,678.64 is: 5,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.92 : 20,306.84 = 3,678.64 : x
  2. Step 2: Convert to fraction form
    13,537.92/20,306.84 = 3,678.64/x
  3. Step 3: Cross multiply
    13,537.92x = 20,306.84 × 3,678.64
  4. Step 4: Simplify right side
    13,537.92x = 74,701,553.90
  5. Step 5: Solve for x
    x = 74,701,553.90/13,537.92
  6. Step 6: Final answer
    x = 5,517.95

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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.