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Finding the Fourth Proportional to 12,306.77, 18,463.97 and 5,194.70

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Solution

The fourth proportional to 12,306.77, 18,463.97 and 5,194.70 is: 7,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.77 : 18,463.97 = 5,194.70 : x
  2. Step 2: Convert to fraction form
    12,306.77/18,463.97 = 5,194.70/x
  3. Step 3: Cross multiply
    12,306.77x = 18,463.97 × 5,194.70
  4. Step 4: Simplify right side
    12,306.77x = 95,914,705.63
  5. Step 5: Solve for x
    x = 95,914,705.63/12,306.77
  6. Step 6: Final answer
    x = 7,793.65

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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.