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Finding the Fourth Proportional to 17,164.08, 25,741.92 and 5,474.88

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Solution

The fourth proportional to 17,164.08, 25,741.92 and 5,474.88 is: 8,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.08 : 25,741.92 = 5,474.88 : x
  2. Step 2: Convert to fraction form
    17,164.08/25,741.92 = 5,474.88/x
  3. Step 3: Cross multiply
    17,164.08x = 25,741.92 × 5,474.88
  4. Step 4: Simplify right side
    17,164.08x = 140,933,922.97
  5. Step 5: Solve for x
    x = 140,933,922.97/17,164.08
  6. Step 6: Final answer
    x = 8,210.98

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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.