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Finding the Fourth Proportional to 20,093.86, 27,729.50 and 12,134.60

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Solution

The fourth proportional to 20,093.86, 27,729.50 and 12,134.60 is: 16,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.86 : 27,729.50 = 12,134.60 : x
  2. Step 2: Convert to fraction form
    20,093.86/27,729.50 = 12,134.60/x
  3. Step 3: Cross multiply
    20,093.86x = 27,729.50 × 12,134.60
  4. Step 4: Simplify right side
    20,093.86x = 336,486,390.70
  5. Step 5: Solve for x
    x = 336,486,390.70/20,093.86
  6. Step 6: Final answer
    x = 16,745.73

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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.