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Finding the Fourth Proportional to 22,480.84, 33,721.11 and 7,489.11

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Solution

The fourth proportional to 22,480.84, 33,721.11 and 7,489.11 is: 11,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.84 : 33,721.11 = 7,489.11 : x
  2. Step 2: Convert to fraction form
    22,480.84/33,721.11 = 7,489.11/x
  3. Step 3: Cross multiply
    22,480.84x = 33,721.11 × 7,489.11
  4. Step 4: Simplify right side
    22,480.84x = 252,541,038.89
  5. Step 5: Solve for x
    x = 252,541,038.89/22,480.84
  6. Step 6: Final answer
    x = 11,233.61

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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.