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Finding the Fourth Proportional to 18,562.27, 27,842.94 and 5,414.75

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Solution

The fourth proportional to 18,562.27, 27,842.94 and 5,414.75 is: 8,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.27 : 27,842.94 = 5,414.75 : x
  2. Step 2: Convert to fraction form
    18,562.27/27,842.94 = 5,414.75/x
  3. Step 3: Cross multiply
    18,562.27x = 27,842.94 × 5,414.75
  4. Step 4: Simplify right side
    18,562.27x = 150,762,559.37
  5. Step 5: Solve for x
    x = 150,762,559.37/18,562.27
  6. Step 6: Final answer
    x = 8,121.99

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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.