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Finding the Fourth Proportional to 26,965.25, 40,447.97 and 8,245.22

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Solution

The fourth proportional to 26,965.25, 40,447.97 and 8,245.22 is: 12,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,965.25 : 40,447.97 = 8,245.22 : x
  2. Step 2: Convert to fraction form
    26,965.25/40,447.97 = 8,245.22/x
  3. Step 3: Cross multiply
    26,965.25x = 40,447.97 × 8,245.22
  4. Step 4: Simplify right side
    26,965.25x = 333,502,167.74
  5. Step 5: Solve for x
    x = 333,502,167.74/26,965.25
  6. Step 6: Final answer
    x = 12,367.85

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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.