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Finding the Fourth Proportional to 16,286, 22,474.80 and 8,834

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Solution

The fourth proportional to 16,286, 22,474.80 and 8,834 is: 12,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286 : 22,474.80 = 8,834 : x
  2. Step 2: Convert to fraction form
    16,286/22,474.80 = 8,834/x
  3. Step 3: Cross multiply
    16,286x = 22,474.80 × 8,834
  4. Step 4: Simplify right side
    16,286x = 198,542,383.20
  5. Step 5: Solve for x
    x = 198,542,383.20/16,286
  6. Step 6: Final answer
    x = 12,190.99

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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.