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Finding the Fourth Proportional to 23,494.97, 35,233.67 and 9,450.26

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Solution

The fourth proportional to 23,494.97, 35,233.67 and 9,450.26 is: 14,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.97 : 35,233.67 = 9,450.26 : x
  2. Step 2: Convert to fraction form
    23,494.97/35,233.67 = 9,450.26/x
  3. Step 3: Cross multiply
    23,494.97x = 35,233.67 × 9,450.26
  4. Step 4: Simplify right side
    23,494.97x = 332,967,342.25
  5. Step 5: Solve for x
    x = 332,967,342.25/23,494.97
  6. Step 6: Final answer
    x = 14,171.86

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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.