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Finding the Fourth Proportional to 22,198.52, 30,633.45 and 12,127

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Solution

The fourth proportional to 22,198.52, 30,633.45 and 12,127 is: 16,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.52 : 30,633.45 = 12,127 : x
  2. Step 2: Convert to fraction form
    22,198.52/30,633.45 = 12,127/x
  3. Step 3: Cross multiply
    22,198.52x = 30,633.45 × 12,127
  4. Step 4: Simplify right side
    22,198.52x = 371,491,787.52
  5. Step 5: Solve for x
    x = 371,491,787.52/22,198.52
  6. Step 6: Final answer
    x = 16,734.98

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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.