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Finding the Fourth Proportional to 22,198.88, 30,639.68 and 12,772.96

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Solution

The fourth proportional to 22,198.88, 30,639.68 and 12,772.96 is: 17,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.88 : 30,639.68 = 12,772.96 : x
  2. Step 2: Convert to fraction form
    22,198.88/30,639.68 = 12,772.96/x
  3. Step 3: Cross multiply
    22,198.88x = 30,639.68 × 12,772.96
  4. Step 4: Simplify right side
    22,198.88x = 391,359,407.05
  5. Step 5: Solve for x
    x = 391,359,407.05/22,198.88
  6. Step 6: Final answer
    x = 17,629.69

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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.