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Finding the Fourth Proportional to 26,942.74, 40,420.14 and 8,224.44

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Solution

The fourth proportional to 26,942.74, 40,420.14 and 8,224.44 is: 12,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,942.74 : 40,420.14 = 8,224.44 : x
  2. Step 2: Convert to fraction form
    26,942.74/40,420.14 = 8,224.44/x
  3. Step 3: Cross multiply
    26,942.74x = 40,420.14 × 8,224.44
  4. Step 4: Simplify right side
    26,942.74x = 332,433,016.22
  5. Step 5: Solve for x
    x = 332,433,016.22/26,942.74
  6. Step 6: Final answer
    x = 12,338.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.