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Finding the Fourth Proportional to 16,401, 22,633.38 and 8,949

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Solution

The fourth proportional to 16,401, 22,633.38 and 8,949 is: 12,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401 : 22,633.38 = 8,949 : x
  2. Step 2: Convert to fraction form
    16,401/22,633.38 = 8,949/x
  3. Step 3: Cross multiply
    16,401x = 22,633.38 × 8,949
  4. Step 4: Simplify right side
    16,401x = 202,546,117.62
  5. Step 5: Solve for x
    x = 202,546,117.62/16,401
  6. Step 6: Final answer
    x = 12,349.62

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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.