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Finding the Fourth Proportional to 22,102.14, 33,153.20 and 18,198.34

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Solution

The fourth proportional to 22,102.14, 33,153.20 and 18,198.34 is: 27,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.14 : 33,153.20 = 18,198.34 : x
  2. Step 2: Convert to fraction form
    22,102.14/33,153.20 = 18,198.34/x
  3. Step 3: Cross multiply
    22,102.14x = 33,153.20 × 18,198.34
  4. Step 4: Simplify right side
    22,102.14x = 603,333,205.69
  5. Step 5: Solve for x
    x = 603,333,205.69/22,102.14
  6. Step 6: Final answer
    x = 27,297.50

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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.