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Finding the Fourth Proportional to 20,846.88, 28,768.71 and 11,286.77

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Solution

The fourth proportional to 20,846.88, 28,768.71 and 11,286.77 is: 15,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.88 : 28,768.71 = 11,286.77 : x
  2. Step 2: Convert to fraction form
    20,846.88/28,768.71 = 11,286.77/x
  3. Step 3: Cross multiply
    20,846.88x = 28,768.71 × 11,286.77
  4. Step 4: Simplify right side
    20,846.88x = 324,705,884.89
  5. Step 5: Solve for x
    x = 324,705,884.89/20,846.88
  6. Step 6: Final answer
    x = 15,575.75

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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.