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Finding the Fourth Proportional to 16,467, 22,716.36 and 11,163.48

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Solution

The fourth proportional to 16,467, 22,716.36 and 11,163.48 is: 15,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467 : 22,716.36 = 11,163.48 : x
  2. Step 2: Convert to fraction form
    16,467/22,716.36 = 11,163.48/x
  3. Step 3: Cross multiply
    16,467x = 22,716.36 × 11,163.48
  4. Step 4: Simplify right side
    16,467x = 253,593,630.53
  5. Step 5: Solve for x
    x = 253,593,630.53/16,467
  6. Step 6: Final answer
    x = 15,400.11

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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.