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Finding the Fourth Proportional to 16,396.46, 24,611.97 and 7,639.82

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Solution

The fourth proportional to 16,396.46, 24,611.97 and 7,639.82 is: 11,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396.46 : 24,611.97 = 7,639.82 : x
  2. Step 2: Convert to fraction form
    16,396.46/24,611.97 = 7,639.82/x
  3. Step 3: Cross multiply
    16,396.46x = 24,611.97 × 7,639.82
  4. Step 4: Simplify right side
    16,396.46x = 188,031,020.65
  5. Step 5: Solve for x
    x = 188,031,020.65/16,396.46
  6. Step 6: Final answer
    x = 11,467.78

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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.