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Finding the Fourth Proportional to 12,141.38, 18,213.38 and 3,821.65

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Solution

The fourth proportional to 12,141.38, 18,213.38 and 3,821.65 is: 5,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.38 : 18,213.38 = 3,821.65 : x
  2. Step 2: Convert to fraction form
    12,141.38/18,213.38 = 3,821.65/x
  3. Step 3: Cross multiply
    12,141.38x = 18,213.38 × 3,821.65
  4. Step 4: Simplify right side
    12,141.38x = 69,605,163.68
  5. Step 5: Solve for x
    x = 69,605,163.68/12,141.38
  6. Step 6: Final answer
    x = 5,732.89

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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.