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Finding the Fourth Proportional to 26,170.91, 39,266.86 and 9,532.09

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Solution

The fourth proportional to 26,170.91, 39,266.86 and 9,532.09 is: 14,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,170.91 : 39,266.86 = 9,532.09 : x
  2. Step 2: Convert to fraction form
    26,170.91/39,266.86 = 9,532.09/x
  3. Step 3: Cross multiply
    26,170.91x = 39,266.86 × 9,532.09
  4. Step 4: Simplify right side
    26,170.91x = 374,295,121.54
  5. Step 5: Solve for x
    x = 374,295,121.54/26,170.91
  6. Step 6: Final answer
    x = 14,301.96

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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.