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Finding the Fourth Proportional to 18,043.92, 27,047.37 and 9,142.80

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Solution

The fourth proportional to 18,043.92, 27,047.37 and 9,142.80 is: 13,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,043.92 : 27,047.37 = 9,142.80 : x
  2. Step 2: Convert to fraction form
    18,043.92/27,047.37 = 9,142.80/x
  3. Step 3: Cross multiply
    18,043.92x = 27,047.37 × 9,142.80
  4. Step 4: Simplify right side
    18,043.92x = 247,288,694.44
  5. Step 5: Solve for x
    x = 247,288,694.44/18,043.92
  6. Step 6: Final answer
    x = 13,704.82

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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.