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Finding the Fourth Proportional to 22,282.43, 33,423.69 and 9,132.44

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Solution

The fourth proportional to 22,282.43, 33,423.69 and 9,132.44 is: 13,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.43 : 33,423.69 = 9,132.44 : x
  2. Step 2: Convert to fraction form
    22,282.43/33,423.69 = 9,132.44/x
  3. Step 3: Cross multiply
    22,282.43x = 33,423.69 × 9,132.44
  4. Step 4: Simplify right side
    22,282.43x = 305,239,843.50
  5. Step 5: Solve for x
    x = 305,239,843.50/22,282.43
  6. Step 6: Final answer
    x = 13,698.68

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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.