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Finding the Fourth Proportional to 16,635.92, 24,954.30 and 4,949.24

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Solution

The fourth proportional to 16,635.92, 24,954.30 and 4,949.24 is: 7,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.92 : 24,954.30 = 4,949.24 : x
  2. Step 2: Convert to fraction form
    16,635.92/24,954.30 = 4,949.24/x
  3. Step 3: Cross multiply
    16,635.92x = 24,954.30 × 4,949.24
  4. Step 4: Simplify right side
    16,635.92x = 123,504,819.73
  5. Step 5: Solve for x
    x = 123,504,819.73/16,635.92
  6. Step 6: Final answer
    x = 7,423.98

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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.