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Finding the Fourth Proportional to 23,046.87, 34,542.97 and 9,871.41

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Solution

The fourth proportional to 23,046.87, 34,542.97 and 9,871.41 is: 14,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.87 : 34,542.97 = 9,871.41 : x
  2. Step 2: Convert to fraction form
    23,046.87/34,542.97 = 9,871.41/x
  3. Step 3: Cross multiply
    23,046.87x = 34,542.97 × 9,871.41
  4. Step 4: Simplify right side
    23,046.87x = 340,987,979.87
  5. Step 5: Solve for x
    x = 340,987,979.87/23,046.87
  6. Step 6: Final answer
    x = 14,795.41

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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.