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Finding the Fourth Proportional to 12,871.87, 17,767.56 and 7,568.26

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Solution

The fourth proportional to 12,871.87, 17,767.56 and 7,568.26 is: 10,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.87 : 17,767.56 = 7,568.26 : x
  2. Step 2: Convert to fraction form
    12,871.87/17,767.56 = 7,568.26/x
  3. Step 3: Cross multiply
    12,871.87x = 17,767.56 × 7,568.26
  4. Step 4: Simplify right side
    12,871.87x = 134,469,513.65
  5. Step 5: Solve for x
    x = 134,469,513.65/12,871.87
  6. Step 6: Final answer
    x = 10,446.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.