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Finding the Fourth Proportional to 20,198.34, 27,811.89 and 20,140.02

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Solution

The fourth proportional to 20,198.34, 27,811.89 and 20,140.02 is: 27,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.34 : 27,811.89 = 20,140.02 : x
  2. Step 2: Convert to fraction form
    20,198.34/27,811.89 = 20,140.02/x
  3. Step 3: Cross multiply
    20,198.34x = 27,811.89 × 20,140.02
  4. Step 4: Simplify right side
    20,198.34x = 560,132,020.84
  5. Step 5: Solve for x
    x = 560,132,020.84/20,198.34
  6. Step 6: Final answer
    x = 27,731.59

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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.