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Finding the Fourth Proportional to 22,578.41, 33,869.16 and 6,782.78

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Solution

The fourth proportional to 22,578.41, 33,869.16 and 6,782.78 is: 10,174.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.41 : 33,869.16 = 6,782.78 : x
  2. Step 2: Convert to fraction form
    22,578.41/33,869.16 = 6,782.78/x
  3. Step 3: Cross multiply
    22,578.41x = 33,869.16 × 6,782.78
  4. Step 4: Simplify right side
    22,578.41x = 229,726,891.72
  5. Step 5: Solve for x
    x = 229,726,891.72/22,578.41
  6. Step 6: Final answer
    x = 10,174.63

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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.