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Finding the Fourth Proportional to 18,379.69, 27,578.65 and 7,286.14

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Solution

The fourth proportional to 18,379.69, 27,578.65 and 7,286.14 is: 10,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,379.69 : 27,578.65 = 7,286.14 : x
  2. Step 2: Convert to fraction form
    18,379.69/27,578.65 = 7,286.14/x
  3. Step 3: Cross multiply
    18,379.69x = 27,578.65 × 7,286.14
  4. Step 4: Simplify right side
    18,379.69x = 200,941,904.91
  5. Step 5: Solve for x
    x = 200,941,904.91/18,379.69
  6. Step 6: Final answer
    x = 10,932.82

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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.