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Finding the Fourth Proportional to 11,729.41, 17,584.39 and 8,022.44

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Solution

The fourth proportional to 11,729.41, 17,584.39 and 8,022.44 is: 12,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.41 : 17,584.39 = 8,022.44 : x
  2. Step 2: Convert to fraction form
    11,729.41/17,584.39 = 8,022.44/x
  3. Step 3: Cross multiply
    11,729.41x = 17,584.39 × 8,022.44
  4. Step 4: Simplify right side
    11,729.41x = 141,069,767.70
  5. Step 5: Solve for x
    x = 141,069,767.70/11,729.41
  6. Step 6: Final answer
    x = 12,027.02

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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.