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Finding the Fourth Proportional to 12,632.36, 18,949.44 and 3,866.14

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Solution

The fourth proportional to 12,632.36, 18,949.44 and 3,866.14 is: 5,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.36 : 18,949.44 = 3,866.14 : x
  2. Step 2: Convert to fraction form
    12,632.36/18,949.44 = 3,866.14/x
  3. Step 3: Cross multiply
    12,632.36x = 18,949.44 × 3,866.14
  4. Step 4: Simplify right side
    12,632.36x = 73,261,093.21
  5. Step 5: Solve for x
    x = 73,261,093.21/12,632.36
  6. Step 6: Final answer
    x = 5,799.48

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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.