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Finding the Fourth Proportional to 12,205.33, 18,309.81 and 3,882.88

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Solution

The fourth proportional to 12,205.33, 18,309.81 and 3,882.88 is: 5,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.33 : 18,309.81 = 3,882.88 : x
  2. Step 2: Convert to fraction form
    12,205.33/18,309.81 = 3,882.88/x
  3. Step 3: Cross multiply
    12,205.33x = 18,309.81 × 3,882.88
  4. Step 4: Simplify right side
    12,205.33x = 71,094,832.50
  5. Step 5: Solve for x
    x = 71,094,832.50/12,205.33
  6. Step 6: Final answer
    x = 5,824.90

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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.