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Finding the Fourth Proportional to 22,481.73, 31,017.41 and 16,022.38

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Solution

The fourth proportional to 22,481.73, 31,017.41 and 16,022.38 is: 22,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.73 : 31,017.41 = 16,022.38 : x
  2. Step 2: Convert to fraction form
    22,481.73/31,017.41 = 16,022.38/x
  3. Step 3: Cross multiply
    22,481.73x = 31,017.41 × 16,022.38
  4. Step 4: Simplify right side
    22,481.73x = 496,972,729.64
  5. Step 5: Solve for x
    x = 496,972,729.64/22,481.73
  6. Step 6: Final answer
    x = 22,105.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.