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Finding the Fourth Proportional to 12,380.97, 18,573.50 and 6,141.18

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Solution

The fourth proportional to 12,380.97, 18,573.50 and 6,141.18 is: 9,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.97 : 18,573.50 = 6,141.18 : x
  2. Step 2: Convert to fraction form
    12,380.97/18,573.50 = 6,141.18/x
  3. Step 3: Cross multiply
    12,380.97x = 18,573.50 × 6,141.18
  4. Step 4: Simplify right side
    12,380.97x = 114,063,206.73
  5. Step 5: Solve for x
    x = 114,063,206.73/12,380.97
  6. Step 6: Final answer
    x = 9,212.78

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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.