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Finding the Fourth Proportional to 22,786.38, 34,166.81 and 7,989.50

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Solution

The fourth proportional to 22,786.38, 34,166.81 and 7,989.50 is: 11,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,786.38 : 34,166.81 = 7,989.50 : x
  2. Step 2: Convert to fraction form
    22,786.38/34,166.81 = 7,989.50/x
  3. Step 3: Cross multiply
    22,786.38x = 34,166.81 × 7,989.50
  4. Step 4: Simplify right side
    22,786.38x = 272,975,833.89
  5. Step 5: Solve for x
    x = 272,975,833.89/22,786.38
  6. Step 6: Final answer
    x = 11,979.78

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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.