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Finding the Fourth Proportional to 22,022.52, 33,046.87 and 7,981.17

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Solution

The fourth proportional to 22,022.52, 33,046.87 and 7,981.17 is: 11,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,022.52 : 33,046.87 = 7,981.17 : x
  2. Step 2: Convert to fraction form
    22,022.52/33,046.87 = 7,981.17/x
  3. Step 3: Cross multiply
    22,022.52x = 33,046.87 × 7,981.17
  4. Step 4: Simplify right side
    22,022.52x = 263,752,687.44
  5. Step 5: Solve for x
    x = 263,752,687.44/22,022.52
  6. Step 6: Final answer
    x = 11,976.50

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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.