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Finding the Fourth Proportional to 18,563.92, 27,847.09 and 5,415.19

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Solution

The fourth proportional to 18,563.92, 27,847.09 and 5,415.19 is: 8,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.92 : 27,847.09 = 5,415.19 : x
  2. Step 2: Convert to fraction form
    18,563.92/27,847.09 = 5,415.19/x
  3. Step 3: Cross multiply
    18,563.92x = 27,847.09 × 5,415.19
  4. Step 4: Simplify right side
    18,563.92x = 150,797,220.45
  5. Step 5: Solve for x
    x = 150,797,220.45/18,563.92
  6. Step 6: Final answer
    x = 8,123.14

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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.