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Finding the Fourth Proportional to 22,236.80, 33,352.32 and 8,384

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Solution

The fourth proportional to 22,236.80, 33,352.32 and 8,384 is: 12,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,236.80 : 33,352.32 = 8,384 : x
  2. Step 2: Convert to fraction form
    22,236.80/33,352.32 = 8,384/x
  3. Step 3: Cross multiply
    22,236.80x = 33,352.32 × 8,384
  4. Step 4: Simplify right side
    22,236.80x = 279,625,850.88
  5. Step 5: Solve for x
    x = 279,625,850.88/22,236.80
  6. Step 6: Final answer
    x = 12,574.91

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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.