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Finding the Fourth Proportional to 17,134.21, 25,704.02 and 5,450.05

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Solution

The fourth proportional to 17,134.21, 25,704.02 and 5,450.05 is: 8,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.21 : 25,704.02 = 5,450.05 : x
  2. Step 2: Convert to fraction form
    17,134.21/25,704.02 = 5,450.05/x
  3. Step 3: Cross multiply
    17,134.21x = 25,704.02 × 5,450.05
  4. Step 4: Simplify right side
    17,134.21x = 140,088,194.20
  5. Step 5: Solve for x
    x = 140,088,194.20/17,134.21
  6. Step 6: Final answer
    x = 8,175.94

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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.