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Finding the Fourth Proportional to 12,203.50, 18,286.08 and 7,270.44

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Solution

The fourth proportional to 12,203.50, 18,286.08 and 7,270.44 is: 10,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.50 : 18,286.08 = 7,270.44 : x
  2. Step 2: Convert to fraction form
    12,203.50/18,286.08 = 7,270.44/x
  3. Step 3: Cross multiply
    12,203.50x = 18,286.08 × 7,270.44
  4. Step 4: Simplify right side
    12,203.50x = 132,947,847.48
  5. Step 5: Solve for x
    x = 132,947,847.48/12,203.50
  6. Step 6: Final answer
    x = 10,894.24

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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.