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Finding the Fourth Proportional to 22,822.66, 34,238.31 and 8,029.90

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Solution

The fourth proportional to 22,822.66, 34,238.31 and 8,029.90 is: 12,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.66 : 34,238.31 = 8,029.90 : x
  2. Step 2: Convert to fraction form
    22,822.66/34,238.31 = 8,029.90/x
  3. Step 3: Cross multiply
    22,822.66x = 34,238.31 × 8,029.90
  4. Step 4: Simplify right side
    22,822.66x = 274,930,205.47
  5. Step 5: Solve for x
    x = 274,930,205.47/22,822.66
  6. Step 6: Final answer
    x = 12,046.37

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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.