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Finding the Fourth Proportional to 22,431.67, 33,647.42 and 8,392.75

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Solution

The fourth proportional to 22,431.67, 33,647.42 and 8,392.75 is: 12,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.67 : 33,647.42 = 8,392.75 : x
  2. Step 2: Convert to fraction form
    22,431.67/33,647.42 = 8,392.75/x
  3. Step 3: Cross multiply
    22,431.67x = 33,647.42 × 8,392.75
  4. Step 4: Simplify right side
    22,431.67x = 282,394,342.24
  5. Step 5: Solve for x
    x = 282,394,342.24/22,431.67
  6. Step 6: Final answer
    x = 12,589.09

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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.