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Finding the Fourth Proportional to 23,107.72, 34,665.22 and 9,963.80

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Solution

The fourth proportional to 23,107.72, 34,665.22 and 9,963.80 is: 14,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.72 : 34,665.22 = 9,963.80 : x
  2. Step 2: Convert to fraction form
    23,107.72/34,665.22 = 9,963.80/x
  3. Step 3: Cross multiply
    23,107.72x = 34,665.22 × 9,963.80
  4. Step 4: Simplify right side
    23,107.72x = 345,397,319.04
  5. Step 5: Solve for x
    x = 345,397,319.04/23,107.72
  6. Step 6: Final answer
    x = 14,947.27

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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.