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Finding the Fourth Proportional to 22,205.31, 33,320.57 and 8,163.51

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Solution

The fourth proportional to 22,205.31, 33,320.57 and 8,163.51 is: 12,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.31 : 33,320.57 = 8,163.51 : x
  2. Step 2: Convert to fraction form
    22,205.31/33,320.57 = 8,163.51/x
  3. Step 3: Cross multiply
    22,205.31x = 33,320.57 × 8,163.51
  4. Step 4: Simplify right side
    22,205.31x = 272,012,765.58
  5. Step 5: Solve for x
    x = 272,012,765.58/22,205.31
  6. Step 6: Final answer
    x = 12,249.90

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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.