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Finding the Fourth Proportional to 17,147.20, 25,720.80 and 16,175.20

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Solution

The fourth proportional to 17,147.20, 25,720.80 and 16,175.20 is: 24,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.20 : 25,720.80 = 16,175.20 : x
  2. Step 2: Convert to fraction form
    17,147.20/25,720.80 = 16,175.20/x
  3. Step 3: Cross multiply
    17,147.20x = 25,720.80 × 16,175.20
  4. Step 4: Simplify right side
    17,147.20x = 416,039,084.16
  5. Step 5: Solve for x
    x = 416,039,084.16/17,147.20
  6. Step 6: Final answer
    x = 24,262.80

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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.