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Finding the Fourth Proportional to 12,205.28, 18,287.03 and 6,662.52

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Solution

The fourth proportional to 12,205.28, 18,287.03 and 6,662.52 is: 9,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.28 : 18,287.03 = 6,662.52 : x
  2. Step 2: Convert to fraction form
    12,205.28/18,287.03 = 6,662.52/x
  3. Step 3: Cross multiply
    12,205.28x = 18,287.03 × 6,662.52
  4. Step 4: Simplify right side
    12,205.28x = 121,837,669.80
  5. Step 5: Solve for x
    x = 121,837,669.80/12,205.28
  6. Step 6: Final answer
    x = 9,982.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.