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Finding the Fourth Proportional to 17,163.80, 25,741.37 and 5,471

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Solution

The fourth proportional to 17,163.80, 25,741.37 and 5,471 is: 8,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163.80 : 25,741.37 = 5,471 : x
  2. Step 2: Convert to fraction form
    17,163.80/25,741.37 = 5,471/x
  3. Step 3: Cross multiply
    17,163.80x = 25,741.37 × 5,471
  4. Step 4: Simplify right side
    17,163.80x = 140,831,035.27
  5. Step 5: Solve for x
    x = 140,831,035.27/17,163.80
  6. Step 6: Final answer
    x = 8,205.12

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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.