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Finding the Fourth Proportional to 18,173.28, 27,232.10 and 12,228.15

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Solution

The fourth proportional to 18,173.28, 27,232.10 and 12,228.15 is: 18,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,173.28 : 27,232.10 = 12,228.15 : x
  2. Step 2: Convert to fraction form
    18,173.28/27,232.10 = 12,228.15/x
  3. Step 3: Cross multiply
    18,173.28x = 27,232.10 × 12,228.15
  4. Step 4: Simplify right side
    18,173.28x = 332,998,290.45
  5. Step 5: Solve for x
    x = 332,998,290.45/18,173.28
  6. Step 6: Final answer
    x = 18,323.51

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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.