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Finding the Fourth Proportional to 13,682.88, 20,524.02 and 3,821.94

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Solution

The fourth proportional to 13,682.88, 20,524.02 and 3,821.94 is: 5,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.88 : 20,524.02 = 3,821.94 : x
  2. Step 2: Convert to fraction form
    13,682.88/20,524.02 = 3,821.94/x
  3. Step 3: Cross multiply
    13,682.88x = 20,524.02 × 3,821.94
  4. Step 4: Simplify right side
    13,682.88x = 78,441,573.00
  5. Step 5: Solve for x
    x = 78,441,573.00/13,682.88
  6. Step 6: Final answer
    x = 5,732.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.