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Finding the Fourth Proportional to 23,027.25, 34,540.89 and 9,185.97

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Solution

The fourth proportional to 23,027.25, 34,540.89 and 9,185.97 is: 13,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.25 : 34,540.89 = 9,185.97 : x
  2. Step 2: Convert to fraction form
    23,027.25/34,540.89 = 9,185.97/x
  3. Step 3: Cross multiply
    23,027.25x = 34,540.89 × 9,185.97
  4. Step 4: Simplify right side
    23,027.25x = 317,291,579.31
  5. Step 5: Solve for x
    x = 317,291,579.31/23,027.25
  6. Step 6: Final answer
    x = 13,778.96

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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.