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Finding the Fourth Proportional to 17,174.50, 25,752.28 and 5,325

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Solution

The fourth proportional to 17,174.50, 25,752.28 and 5,325 is: 7,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.50 : 25,752.28 = 5,325 : x
  2. Step 2: Convert to fraction form
    17,174.50/25,752.28 = 5,325/x
  3. Step 3: Cross multiply
    17,174.50x = 25,752.28 × 5,325
  4. Step 4: Simplify right side
    17,174.50x = 137,130,891
  5. Step 5: Solve for x
    x = 137,130,891/17,174.50
  6. Step 6: Final answer
    x = 7,984.56

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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.