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Finding the Fourth Proportional to 26,882.98, 40,319.92 and 8,158.50

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Solution

The fourth proportional to 26,882.98, 40,319.92 and 8,158.50 is: 12,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,882.98 : 40,319.92 = 8,158.50 : x
  2. Step 2: Convert to fraction form
    26,882.98/40,319.92 = 8,158.50/x
  3. Step 3: Cross multiply
    26,882.98x = 40,319.92 × 8,158.50
  4. Step 4: Simplify right side
    26,882.98x = 328,950,067.32
  5. Step 5: Solve for x
    x = 328,950,067.32/26,882.98
  6. Step 6: Final answer
    x = 12,236.37

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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.