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Finding the Fourth Proportional to 20,180, 27,850.83 and 11,796.50

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Solution

The fourth proportional to 20,180, 27,850.83 and 11,796.50 is: 16,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 27,850.83 = 11,796.50 : x
  2. Step 2: Convert to fraction form
    20,180/27,850.83 = 11,796.50/x
  3. Step 3: Cross multiply
    20,180x = 27,850.83 × 11,796.50
  4. Step 4: Simplify right side
    20,180x = 328,542,316.10
  5. Step 5: Solve for x
    x = 328,542,316.10/20,180
  6. Step 6: Final answer
    x = 16,280.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.