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Finding the Fourth Proportional to 26,536.44, 39,803.22 and 8,067

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Solution

The fourth proportional to 26,536.44, 39,803.22 and 8,067 is: 12,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536.44 : 39,803.22 = 8,067 : x
  2. Step 2: Convert to fraction form
    26,536.44/39,803.22 = 8,067/x
  3. Step 3: Cross multiply
    26,536.44x = 39,803.22 × 8,067
  4. Step 4: Simplify right side
    26,536.44x = 321,092,575.74
  5. Step 5: Solve for x
    x = 321,092,575.74/26,536.44
  6. Step 6: Final answer
    x = 12,100.06

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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.