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Finding the Fourth Proportional to 12,227.72, 18,324.78 and 6,666.44

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Solution

The fourth proportional to 12,227.72, 18,324.78 and 6,666.44 is: 9,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.72 : 18,324.78 = 6,666.44 : x
  2. Step 2: Convert to fraction form
    12,227.72/18,324.78 = 6,666.44/x
  3. Step 3: Cross multiply
    12,227.72x = 18,324.78 × 6,666.44
  4. Step 4: Simplify right side
    12,227.72x = 122,161,046.38
  5. Step 5: Solve for x
    x = 122,161,046.38/12,227.72
  6. Step 6: Final answer
    x = 9,990.50

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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.