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Finding the Fourth Proportional to 12,942.76, 17,861 and 8,229.76

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Solution

The fourth proportional to 12,942.76, 17,861 and 8,229.76 is: 11,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.76 : 17,861 = 8,229.76 : x
  2. Step 2: Convert to fraction form
    12,942.76/17,861 = 8,229.76/x
  3. Step 3: Cross multiply
    12,942.76x = 17,861 × 8,229.76
  4. Step 4: Simplify right side
    12,942.76x = 146,991,743.36
  5. Step 5: Solve for x
    x = 146,991,743.36/12,942.76
  6. Step 6: Final answer
    x = 11,357.06

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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.