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Finding the Fourth Proportional to 22,706.66, 34,063.13 and 6,067.24

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Solution

The fourth proportional to 22,706.66, 34,063.13 and 6,067.24 is: 9,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.66 : 34,063.13 = 6,067.24 : x
  2. Step 2: Convert to fraction form
    22,706.66/34,063.13 = 6,067.24/x
  3. Step 3: Cross multiply
    22,706.66x = 34,063.13 × 6,067.24
  4. Step 4: Simplify right side
    22,706.66x = 206,669,114.87
  5. Step 5: Solve for x
    x = 206,669,114.87/22,706.66
  6. Step 6: Final answer
    x = 9,101.69

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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.