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Finding the Fourth Proportional to 17,202.87, 25,739.09 and 10,186.65

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Solution

The fourth proportional to 17,202.87, 25,739.09 and 10,186.65 is: 15,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.87 : 25,739.09 = 10,186.65 : x
  2. Step 2: Convert to fraction form
    17,202.87/25,739.09 = 10,186.65/x
  3. Step 3: Cross multiply
    17,202.87x = 25,739.09 × 10,186.65
  4. Step 4: Simplify right side
    17,202.87x = 262,195,050.22
  5. Step 5: Solve for x
    x = 262,195,050.22/17,202.87
  6. Step 6: Final answer
    x = 15,241.36

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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.