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Finding the Fourth Proportional to 22,651.29, 33,974.29 and 6,012.61

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Solution

The fourth proportional to 22,651.29, 33,974.29 and 6,012.61 is: 9,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.29 : 33,974.29 = 6,012.61 : x
  2. Step 2: Convert to fraction form
    22,651.29/33,974.29 = 6,012.61/x
  3. Step 3: Cross multiply
    22,651.29x = 33,974.29 × 6,012.61
  4. Step 4: Simplify right side
    22,651.29x = 204,274,240.73
  5. Step 5: Solve for x
    x = 204,274,240.73/22,651.29
  6. Step 6: Final answer
    x = 9,018.22

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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.