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Finding the Fourth Proportional to 20,836.97, 28,747.87 and 11,878

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Solution

The fourth proportional to 20,836.97, 28,747.87 and 11,878 is: 16,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836.97 : 28,747.87 = 11,878 : x
  2. Step 2: Convert to fraction form
    20,836.97/28,747.87 = 11,878/x
  3. Step 3: Cross multiply
    20,836.97x = 28,747.87 × 11,878
  4. Step 4: Simplify right side
    20,836.97x = 341,467,199.86
  5. Step 5: Solve for x
    x = 341,467,199.86/20,836.97
  6. Step 6: Final answer
    x = 16,387.56

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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.