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Finding the Fourth Proportional to 12,338.40, 18,471.24 and 7,942.80

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Solution

The fourth proportional to 12,338.40, 18,471.24 and 7,942.80 is: 11,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.40 : 18,471.24 = 7,942.80 : x
  2. Step 2: Convert to fraction form
    12,338.40/18,471.24 = 7,942.80/x
  3. Step 3: Cross multiply
    12,338.40x = 18,471.24 × 7,942.80
  4. Step 4: Simplify right side
    12,338.40x = 146,713,365.07
  5. Step 5: Solve for x
    x = 146,713,365.07/12,338.40
  6. Step 6: Final answer
    x = 11,890.79

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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.