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Finding the Fourth Proportional to 12,122.52, 18,183.80 and 5,201.88

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Solution

The fourth proportional to 12,122.52, 18,183.80 and 5,201.88 is: 7,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.52 : 18,183.80 = 5,201.88 : x
  2. Step 2: Convert to fraction form
    12,122.52/18,183.80 = 5,201.88/x
  3. Step 3: Cross multiply
    12,122.52x = 18,183.80 × 5,201.88
  4. Step 4: Simplify right side
    12,122.52x = 94,589,945.54
  5. Step 5: Solve for x
    x = 94,589,945.54/12,122.52
  6. Step 6: Final answer
    x = 7,802.83

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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.