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Finding the Fourth Proportional to 17,052.72, 25,578.36 and 8,285.28

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Solution

The fourth proportional to 17,052.72, 25,578.36 and 8,285.28 is: 12,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,052.72 : 25,578.36 = 8,285.28 : x
  2. Step 2: Convert to fraction form
    17,052.72/25,578.36 = 8,285.28/x
  3. Step 3: Cross multiply
    17,052.72x = 25,578.36 × 8,285.28
  4. Step 4: Simplify right side
    17,052.72x = 211,923,874.54
  5. Step 5: Solve for x
    x = 211,923,874.54/17,052.72
  6. Step 6: Final answer
    x = 12,427.57

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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.