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Finding the Fourth Proportional to 17,163.50, 25,745.25 and 6,775.25

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Solution

The fourth proportional to 17,163.50, 25,745.25 and 6,775.25 is: 10,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163.50 : 25,745.25 = 6,775.25 : x
  2. Step 2: Convert to fraction form
    17,163.50/25,745.25 = 6,775.25/x
  3. Step 3: Cross multiply
    17,163.50x = 25,745.25 × 6,775.25
  4. Step 4: Simplify right side
    17,163.50x = 174,430,505.06
  5. Step 5: Solve for x
    x = 174,430,505.06/17,163.50
  6. Step 6: Final answer
    x = 10,162.88

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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.