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Finding the Fourth Proportional to 20,161.98, 27,824.18 and 11,209.86

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Solution

The fourth proportional to 20,161.98, 27,824.18 and 11,209.86 is: 15,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.98 : 27,824.18 = 11,209.86 : x
  2. Step 2: Convert to fraction form
    20,161.98/27,824.18 = 11,209.86/x
  3. Step 3: Cross multiply
    20,161.98x = 27,824.18 × 11,209.86
  4. Step 4: Simplify right side
    20,161.98x = 311,905,106.37
  5. Step 5: Solve for x
    x = 311,905,106.37/20,161.98
  6. Step 6: Final answer
    x = 15,469.96

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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.