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Finding the Fourth Proportional to 11,843.41, 17,761.55 and 9,758.24

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Solution

The fourth proportional to 11,843.41, 17,761.55 and 9,758.24 is: 14,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.41 : 17,761.55 = 9,758.24 : x
  2. Step 2: Convert to fraction form
    11,843.41/17,761.55 = 9,758.24/x
  3. Step 3: Cross multiply
    11,843.41x = 17,761.55 × 9,758.24
  4. Step 4: Simplify right side
    11,843.41x = 173,321,418.88
  5. Step 5: Solve for x
    x = 173,321,418.88/11,843.41
  6. Step 6: Final answer
    x = 14,634.42

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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.