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Finding the Fourth Proportional to 17,157.68, 25,736.04 and 5,470.64

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Solution

The fourth proportional to 17,157.68, 25,736.04 and 5,470.64 is: 8,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.68 : 25,736.04 = 5,470.64 : x
  2. Step 2: Convert to fraction form
    17,157.68/25,736.04 = 5,470.64/x
  3. Step 3: Cross multiply
    17,157.68x = 25,736.04 × 5,470.64
  4. Step 4: Simplify right side
    17,157.68x = 140,792,609.87
  5. Step 5: Solve for x
    x = 140,792,609.87/17,157.68
  6. Step 6: Final answer
    x = 8,205.81

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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.