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Finding the Fourth Proportional to 17,171.57, 25,751.30 and 8,164.56

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Solution

The fourth proportional to 17,171.57, 25,751.30 and 8,164.56 is: 12,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.57 : 25,751.30 = 8,164.56 : x
  2. Step 2: Convert to fraction form
    17,171.57/25,751.30 = 8,164.56/x
  3. Step 3: Cross multiply
    17,171.57x = 25,751.30 × 8,164.56
  4. Step 4: Simplify right side
    17,171.57x = 210,247,993.11
  5. Step 5: Solve for x
    x = 210,247,993.11/17,171.57
  6. Step 6: Final answer
    x = 12,243.96

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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.