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Finding the Fourth Proportional to 20,394.45, 30,571.02 and 13,821.30

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Solution

The fourth proportional to 20,394.45, 30,571.02 and 13,821.30 is: 20,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394.45 : 30,571.02 = 13,821.30 : x
  2. Step 2: Convert to fraction form
    20,394.45/30,571.02 = 13,821.30/x
  3. Step 3: Cross multiply
    20,394.45x = 30,571.02 × 13,821.30
  4. Step 4: Simplify right side
    20,394.45x = 422,531,238.73
  5. Step 5: Solve for x
    x = 422,531,238.73/20,394.45
  6. Step 6: Final answer
    x = 20,717.95

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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.