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Finding the Fourth Proportional to 22,231.97, 33,362.45 and 8,192.14

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Solution

The fourth proportional to 22,231.97, 33,362.45 and 8,192.14 is: 12,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,231.97 : 33,362.45 = 8,192.14 : x
  2. Step 2: Convert to fraction form
    22,231.97/33,362.45 = 8,192.14/x
  3. Step 3: Cross multiply
    22,231.97x = 33,362.45 × 8,192.14
  4. Step 4: Simplify right side
    22,231.97x = 273,309,767.50
  5. Step 5: Solve for x
    x = 273,309,767.50/22,231.97
  6. Step 6: Final answer
    x = 12,293.55

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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.