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Finding the Fourth Proportional to 23,033.70, 34,551.09 and 8,243.64

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Solution

The fourth proportional to 23,033.70, 34,551.09 and 8,243.64 is: 12,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,033.70 : 34,551.09 = 8,243.64 : x
  2. Step 2: Convert to fraction form
    23,033.70/34,551.09 = 8,243.64/x
  3. Step 3: Cross multiply
    23,033.70x = 34,551.09 × 8,243.64
  4. Step 4: Simplify right side
    23,033.70x = 284,826,747.57
  5. Step 5: Solve for x
    x = 284,826,747.57/23,033.70
  6. Step 6: Final answer
    x = 12,365.65

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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.