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Finding the Fourth Proportional to 26,942.98, 40,414.47 and 9,412.96

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Solution

The fourth proportional to 26,942.98, 40,414.47 and 9,412.96 is: 14,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,942.98 : 40,414.47 = 9,412.96 : x
  2. Step 2: Convert to fraction form
    26,942.98/40,414.47 = 9,412.96/x
  3. Step 3: Cross multiply
    26,942.98x = 40,414.47 × 9,412.96
  4. Step 4: Simplify right side
    26,942.98x = 380,419,789.53
  5. Step 5: Solve for x
    x = 380,419,789.53/26,942.98
  6. Step 6: Final answer
    x = 14,119.44

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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.