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Finding the Fourth Proportional to 26,883.98, 40,321.42 and 8,159.50

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Solution

The fourth proportional to 26,883.98, 40,321.42 and 8,159.50 is: 12,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,883.98 : 40,321.42 = 8,159.50 : x
  2. Step 2: Convert to fraction form
    26,883.98/40,321.42 = 8,159.50/x
  3. Step 3: Cross multiply
    26,883.98x = 40,321.42 × 8,159.50
  4. Step 4: Simplify right side
    26,883.98x = 329,002,626.49
  5. Step 5: Solve for x
    x = 329,002,626.49/26,883.98
  6. Step 6: Final answer
    x = 12,237.87

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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.