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Finding the Fourth Proportional to 20,200.26, 27,878.50 and 11,823.78

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Solution

The fourth proportional to 20,200.26, 27,878.50 and 11,823.78 is: 16,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.26 : 27,878.50 = 11,823.78 : x
  2. Step 2: Convert to fraction form
    20,200.26/27,878.50 = 11,823.78/x
  3. Step 3: Cross multiply
    20,200.26x = 27,878.50 × 11,823.78
  4. Step 4: Simplify right side
    20,200.26x = 329,629,250.73
  5. Step 5: Solve for x
    x = 329,629,250.73/20,200.26
  6. Step 6: Final answer
    x = 16,318.07

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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.