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Finding the Fourth Proportional to 12,201.34, 18,295.47 and 3,879.10

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Solution

The fourth proportional to 12,201.34, 18,295.47 and 3,879.10 is: 5,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.34 : 18,295.47 = 3,879.10 : x
  2. Step 2: Convert to fraction form
    12,201.34/18,295.47 = 3,879.10/x
  3. Step 3: Cross multiply
    12,201.34x = 18,295.47 × 3,879.10
  4. Step 4: Simplify right side
    12,201.34x = 70,969,957.68
  5. Step 5: Solve for x
    x = 70,969,957.68/12,201.34
  6. Step 6: Final answer
    x = 5,816.57

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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.