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Finding the Fourth Proportional to 18,379.57, 27,578.46 and 7,286.01

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Solution

The fourth proportional to 18,379.57, 27,578.46 and 7,286.01 is: 10,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,379.57 : 27,578.46 = 7,286.01 : x
  2. Step 2: Convert to fraction form
    18,379.57/27,578.46 = 7,286.01/x
  3. Step 3: Cross multiply
    18,379.57x = 27,578.46 × 7,286.01
  4. Step 4: Simplify right side
    18,379.57x = 200,936,935.34
  5. Step 5: Solve for x
    x = 200,936,935.34/18,379.57
  6. Step 6: Final answer
    x = 10,932.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.