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Finding the Fourth Proportional to 22,382.60, 33,578.80 and 6,801.44

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Solution

The fourth proportional to 22,382.60, 33,578.80 and 6,801.44 is: 10,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.60 : 33,578.80 = 6,801.44 : x
  2. Step 2: Convert to fraction form
    22,382.60/33,578.80 = 6,801.44/x
  3. Step 3: Cross multiply
    22,382.60x = 33,578.80 × 6,801.44
  4. Step 4: Simplify right side
    22,382.60x = 228,384,193.47
  5. Step 5: Solve for x
    x = 228,384,193.47/22,382.60
  6. Step 6: Final answer
    x = 10,203.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.