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Finding the Fourth Proportional to 18,246.98, 27,371.14 and 8,249.82

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Solution

The fourth proportional to 18,246.98, 27,371.14 and 8,249.82 is: 12,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,246.98 : 27,371.14 = 8,249.82 : x
  2. Step 2: Convert to fraction form
    18,246.98/27,371.14 = 8,249.82/x
  3. Step 3: Cross multiply
    18,246.98x = 27,371.14 × 8,249.82
  4. Step 4: Simplify right side
    18,246.98x = 225,806,978.19
  5. Step 5: Solve for x
    x = 225,806,978.19/18,246.98
  6. Step 6: Final answer
    x = 12,375.03

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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.