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Finding the Fourth Proportional to 23,480.62, 35,213.50 and 7,682

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Solution

The fourth proportional to 23,480.62, 35,213.50 and 7,682 is: 11,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.62 : 35,213.50 = 7,682 : x
  2. Step 2: Convert to fraction form
    23,480.62/35,213.50 = 7,682/x
  3. Step 3: Cross multiply
    23,480.62x = 35,213.50 × 7,682
  4. Step 4: Simplify right side
    23,480.62x = 270,510,107
  5. Step 5: Solve for x
    x = 270,510,107/23,480.62
  6. Step 6: Final answer
    x = 11,520.57

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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.