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Finding the Fourth Proportional to 22,326.84, 33,489.30 and 6,744

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Solution

The fourth proportional to 22,326.84, 33,489.30 and 6,744 is: 10,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.84 : 33,489.30 = 6,744 : x
  2. Step 2: Convert to fraction form
    22,326.84/33,489.30 = 6,744/x
  3. Step 3: Cross multiply
    22,326.84x = 33,489.30 × 6,744
  4. Step 4: Simplify right side
    22,326.84x = 225,851,839.20
  5. Step 5: Solve for x
    x = 225,851,839.20/22,326.84
  6. Step 6: Final answer
    x = 10,115.71

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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.