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Finding the Fourth Proportional to 12,662.82, 18,993.69 and 3,897.36

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Solution

The fourth proportional to 12,662.82, 18,993.69 and 3,897.36 is: 5,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.82 : 18,993.69 = 3,897.36 : x
  2. Step 2: Convert to fraction form
    12,662.82/18,993.69 = 3,897.36/x
  3. Step 3: Cross multiply
    12,662.82x = 18,993.69 × 3,897.36
  4. Step 4: Simplify right side
    12,662.82x = 74,025,247.66
  5. Step 5: Solve for x
    x = 74,025,247.66/12,662.82
  6. Step 6: Final answer
    x = 5,845.87

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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.