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Finding the Fourth Proportional to 18,073.50, 27,107.18 and 4,922.80

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Solution

The fourth proportional to 18,073.50, 27,107.18 and 4,922.80 is: 7,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,073.50 : 27,107.18 = 4,922.80 : x
  2. Step 2: Convert to fraction form
    18,073.50/27,107.18 = 4,922.80/x
  3. Step 3: Cross multiply
    18,073.50x = 27,107.18 × 4,922.80
  4. Step 4: Simplify right side
    18,073.50x = 133,443,241.87
  5. Step 5: Solve for x
    x = 133,443,241.87/18,073.50
  6. Step 6: Final answer
    x = 7,383.36

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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.