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Finding the Fourth Proportional to 17,138.52, 25,687.26 and 8,822.52

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Solution

The fourth proportional to 17,138.52, 25,687.26 and 8,822.52 is: 13,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.52 : 25,687.26 = 8,822.52 : x
  2. Step 2: Convert to fraction form
    17,138.52/25,687.26 = 8,822.52/x
  3. Step 3: Cross multiply
    17,138.52x = 25,687.26 × 8,822.52
  4. Step 4: Simplify right side
    17,138.52x = 226,626,365.10
  5. Step 5: Solve for x
    x = 226,626,365.10/17,138.52
  6. Step 6: Final answer
    x = 13,223.22

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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.