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Finding the Fourth Proportional to 22,326.78, 33,489.36 and 6,744

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Solution

The fourth proportional to 22,326.78, 33,489.36 and 6,744 is: 10,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.78 : 33,489.36 = 6,744 : x
  2. Step 2: Convert to fraction form
    22,326.78/33,489.36 = 6,744/x
  3. Step 3: Cross multiply
    22,326.78x = 33,489.36 × 6,744
  4. Step 4: Simplify right side
    22,326.78x = 225,852,243.84
  5. Step 5: Solve for x
    x = 225,852,243.84/22,326.78
  6. Step 6: Final answer
    x = 10,115.76

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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.