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Finding the Fourth Proportional to 22,270.64, 30,732.24 and 12,198.56

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Solution

The fourth proportional to 22,270.64, 30,732.24 and 12,198.56 is: 16,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.64 : 30,732.24 = 12,198.56 : x
  2. Step 2: Convert to fraction form
    22,270.64/30,732.24 = 12,198.56/x
  3. Step 3: Cross multiply
    22,270.64x = 30,732.24 × 12,198.56
  4. Step 4: Simplify right side
    22,270.64x = 374,889,073.57
  5. Step 5: Solve for x
    x = 374,889,073.57/22,270.64
  6. Step 6: Final answer
    x = 16,833.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.