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Finding the Fourth Proportional to 17,213.12, 25,824 and 8,452.16

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Solution

The fourth proportional to 17,213.12, 25,824 and 8,452.16 is: 12,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.12 : 25,824 = 8,452.16 : x
  2. Step 2: Convert to fraction form
    17,213.12/25,824 = 8,452.16/x
  3. Step 3: Cross multiply
    17,213.12x = 25,824 × 8,452.16
  4. Step 4: Simplify right side
    17,213.12x = 218,268,579.84
  5. Step 5: Solve for x
    x = 218,268,579.84/17,213.12
  6. Step 6: Final answer
    x = 12,680.36

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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.