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Finding the Fourth Proportional to 18,655.20, 27,965.22 and 9,286.38

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Solution

The fourth proportional to 18,655.20, 27,965.22 and 9,286.38 is: 13,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.20 : 27,965.22 = 9,286.38 : x
  2. Step 2: Convert to fraction form
    18,655.20/27,965.22 = 9,286.38/x
  3. Step 3: Cross multiply
    18,655.20x = 27,965.22 × 9,286.38
  4. Step 4: Simplify right side
    18,655.20x = 259,695,659.70
  5. Step 5: Solve for x
    x = 259,695,659.70/18,655.20
  6. Step 6: Final answer
    x = 13,920.82

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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.