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Finding the Fourth Proportional to 26,229.56, 39,343.82 and 9,589.48

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Solution

The fourth proportional to 26,229.56, 39,343.82 and 9,589.48 is: 14,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,229.56 : 39,343.82 = 9,589.48 : x
  2. Step 2: Convert to fraction form
    26,229.56/39,343.82 = 9,589.48/x
  3. Step 3: Cross multiply
    26,229.56x = 39,343.82 × 9,589.48
  4. Step 4: Simplify right side
    26,229.56x = 377,286,775.01
  5. Step 5: Solve for x
    x = 377,286,775.01/26,229.56
  6. Step 6: Final answer
    x = 14,384.03

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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.