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Finding the Fourth Proportional to 17,257.05, 23,815.61 and 9,704.61

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Solution

The fourth proportional to 17,257.05, 23,815.61 and 9,704.61 is: 13,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.05 : 23,815.61 = 9,704.61 : x
  2. Step 2: Convert to fraction form
    17,257.05/23,815.61 = 9,704.61/x
  3. Step 3: Cross multiply
    17,257.05x = 23,815.61 × 9,704.61
  4. Step 4: Simplify right side
    17,257.05x = 231,121,158.44
  5. Step 5: Solve for x
    x = 231,121,158.44/17,257.05
  6. Step 6: Final answer
    x = 13,392.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.