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Finding the Fourth Proportional to 18,147.67, 27,217.24 and 9,377.80

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Solution

The fourth proportional to 18,147.67, 27,217.24 and 9,377.80 is: 14,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,147.67 : 27,217.24 = 9,377.80 : x
  2. Step 2: Convert to fraction form
    18,147.67/27,217.24 = 9,377.80/x
  3. Step 3: Cross multiply
    18,147.67x = 27,217.24 × 9,377.80
  4. Step 4: Simplify right side
    18,147.67x = 255,237,833.27
  5. Step 5: Solve for x
    x = 255,237,833.27/18,147.67
  6. Step 6: Final answer
    x = 14,064.50

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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.