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Finding the Fourth Proportional to 12,634.43, 18,930.78 and 7,689.11

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Solution

The fourth proportional to 12,634.43, 18,930.78 and 7,689.11 is: 11,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.43 : 18,930.78 = 7,689.11 : x
  2. Step 2: Convert to fraction form
    12,634.43/18,930.78 = 7,689.11/x
  3. Step 3: Cross multiply
    12,634.43x = 18,930.78 × 7,689.11
  4. Step 4: Simplify right side
    12,634.43x = 145,560,755.15
  5. Step 5: Solve for x
    x = 145,560,755.15/12,634.43
  6. Step 6: Final answer
    x = 11,520.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.