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Finding the Fourth Proportional to 18,561.65, 27,842.00 and 5,414.13

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Solution

The fourth proportional to 18,561.65, 27,842.00 and 5,414.13 is: 8,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.65 : 27,842.00 = 5,414.13 : x
  2. Step 2: Convert to fraction form
    18,561.65/27,842.00 = 5,414.13/x
  3. Step 3: Cross multiply
    18,561.65x = 27,842.00 × 5,414.13
  4. Step 4: Simplify right side
    18,561.65x = 150,740,200.69
  5. Step 5: Solve for x
    x = 150,740,200.69/18,561.65
  6. Step 6: Final answer
    x = 8,121.06

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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.