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Finding the Fourth Proportional to 20,144.86, 27,801.09 and 11,193.34

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Solution

The fourth proportional to 20,144.86, 27,801.09 and 11,193.34 is: 15,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.86 : 27,801.09 = 11,193.34 : x
  2. Step 2: Convert to fraction form
    20,144.86/27,801.09 = 11,193.34/x
  3. Step 3: Cross multiply
    20,144.86x = 27,801.09 × 11,193.34
  4. Step 4: Simplify right side
    20,144.86x = 311,187,052.74
  5. Step 5: Solve for x
    x = 311,187,052.74/20,144.86
  6. Step 6: Final answer
    x = 15,447.47

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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.