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Finding the Fourth Proportional to 12,201.49, 18,283.09 and 7,268.43

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Solution

The fourth proportional to 12,201.49, 18,283.09 and 7,268.43 is: 10,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.49 : 18,283.09 = 7,268.43 : x
  2. Step 2: Convert to fraction form
    12,201.49/18,283.09 = 7,268.43/x
  3. Step 3: Cross multiply
    12,201.49x = 18,283.09 × 7,268.43
  4. Step 4: Simplify right side
    12,201.49x = 132,889,341.68
  5. Step 5: Solve for x
    x = 132,889,341.68/12,201.49
  6. Step 6: Final answer
    x = 10,891.24

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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.