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Finding the Fourth Proportional to 26,578.80, 39,927.60 and 22,204.80

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Solution

The fourth proportional to 26,578.80, 39,927.60 and 22,204.80 is: 33,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.80 : 39,927.60 = 22,204.80 : x
  2. Step 2: Convert to fraction form
    26,578.80/39,927.60 = 22,204.80/x
  3. Step 3: Cross multiply
    26,578.80x = 39,927.60 × 22,204.80
  4. Step 4: Simplify right side
    26,578.80x = 886,584,372.48
  5. Step 5: Solve for x
    x = 886,584,372.48/26,578.80
  6. Step 6: Final answer
    x = 33,356.82

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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.