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Finding the Fourth Proportional to 16,857.52, 25,286.30 and 6,469.52

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Solution

The fourth proportional to 16,857.52, 25,286.30 and 6,469.52 is: 9,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.52 : 25,286.30 = 6,469.52 : x
  2. Step 2: Convert to fraction form
    16,857.52/25,286.30 = 6,469.52/x
  3. Step 3: Cross multiply
    16,857.52x = 25,286.30 × 6,469.52
  4. Step 4: Simplify right side
    16,857.52x = 163,590,223.58
  5. Step 5: Solve for x
    x = 163,590,223.58/16,857.52
  6. Step 6: Final answer
    x = 9,704.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.