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Finding the Fourth Proportional to 17,202.32, 25,800 and 6,108.80

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Solution

The fourth proportional to 17,202.32, 25,800 and 6,108.80 is: 9,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.32 : 25,800 = 6,108.80 : x
  2. Step 2: Convert to fraction form
    17,202.32/25,800 = 6,108.80/x
  3. Step 3: Cross multiply
    17,202.32x = 25,800 × 6,108.80
  4. Step 4: Simplify right side
    17,202.32x = 157,607,040
  5. Step 5: Solve for x
    x = 157,607,040/17,202.32
  6. Step 6: Final answer
    x = 9,161.96

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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.