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Finding the Fourth Proportional to 18,194.45, 27,286.81 and 8,193.38

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Solution

The fourth proportional to 18,194.45, 27,286.81 and 8,193.38 is: 12,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.45 : 27,286.81 = 8,193.38 : x
  2. Step 2: Convert to fraction form
    18,194.45/27,286.81 = 8,193.38/x
  3. Step 3: Cross multiply
    18,194.45x = 27,286.81 × 8,193.38
  4. Step 4: Simplify right side
    18,194.45x = 223,571,046.40
  5. Step 5: Solve for x
    x = 223,571,046.40/18,194.45
  6. Step 6: Final answer
    x = 12,287.87

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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.