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Finding the Fourth Proportional to 20,811.09, 31,189.80 and 18,131.82

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Solution

The fourth proportional to 20,811.09, 31,189.80 and 18,131.82 is: 27,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.09 : 31,189.80 = 18,131.82 : x
  2. Step 2: Convert to fraction form
    20,811.09/31,189.80 = 18,131.82/x
  3. Step 3: Cross multiply
    20,811.09x = 31,189.80 × 18,131.82
  4. Step 4: Simplify right side
    20,811.09x = 565,527,839.44
  5. Step 5: Solve for x
    x = 565,527,839.44/20,811.09
  6. Step 6: Final answer
    x = 27,174.35

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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.