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Finding the Fourth Proportional to 26,311.82, 39,467.16 and 8,542.44

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Solution

The fourth proportional to 26,311.82, 39,467.16 and 8,542.44 is: 12,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311.82 : 39,467.16 = 8,542.44 : x
  2. Step 2: Convert to fraction form
    26,311.82/39,467.16 = 8,542.44/x
  3. Step 3: Cross multiply
    26,311.82x = 39,467.16 × 8,542.44
  4. Step 4: Simplify right side
    26,311.82x = 337,145,944.94
  5. Step 5: Solve for x
    x = 337,145,944.94/26,311.82
  6. Step 6: Final answer
    x = 12,813.48

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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.