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Finding the Fourth Proportional to 20,189.70, 27,858.78 and 12,232.80

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Solution

The fourth proportional to 20,189.70, 27,858.78 and 12,232.80 is: 16,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.70 : 27,858.78 = 12,232.80 : x
  2. Step 2: Convert to fraction form
    20,189.70/27,858.78 = 12,232.80/x
  3. Step 3: Cross multiply
    20,189.70x = 27,858.78 × 12,232.80
  4. Step 4: Simplify right side
    20,189.70x = 340,790,883.98
  5. Step 5: Solve for x
    x = 340,790,883.98/20,189.70
  6. Step 6: Final answer
    x = 16,879.44

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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.