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Finding the Fourth Proportional to 13,027.31, 19,540.97 and 9,149.03

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Solution

The fourth proportional to 13,027.31, 19,540.97 and 9,149.03 is: 13,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.31 : 19,540.97 = 9,149.03 : x
  2. Step 2: Convert to fraction form
    13,027.31/19,540.97 = 9,149.03/x
  3. Step 3: Cross multiply
    13,027.31x = 19,540.97 × 9,149.03
  4. Step 4: Simplify right side
    13,027.31x = 178,780,777.31
  5. Step 5: Solve for x
    x = 178,780,777.31/13,027.31
  6. Step 6: Final answer
    x = 13,723.54

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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.