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Finding the Fourth Proportional to 17,163.80, 25,741.14 and 7,298

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Solution

The fourth proportional to 17,163.80, 25,741.14 and 7,298 is: 10,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163.80 : 25,741.14 = 7,298 : x
  2. Step 2: Convert to fraction form
    17,163.80/25,741.14 = 7,298/x
  3. Step 3: Cross multiply
    17,163.80x = 25,741.14 × 7,298
  4. Step 4: Simplify right side
    17,163.80x = 187,858,839.72
  5. Step 5: Solve for x
    x = 187,858,839.72/17,163.80
  6. Step 6: Final answer
    x = 10,945.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.