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Finding the Fourth Proportional to 20,849.40, 28,771.20 and 11,896.20

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Solution

The fourth proportional to 20,849.40, 28,771.20 and 11,896.20 is: 16,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,849.40 : 28,771.20 = 11,896.20 : x
  2. Step 2: Convert to fraction form
    20,849.40/28,771.20 = 11,896.20/x
  3. Step 3: Cross multiply
    20,849.40x = 28,771.20 × 11,896.20
  4. Step 4: Simplify right side
    20,849.40x = 342,267,949.44
  5. Step 5: Solve for x
    x = 342,267,949.44/20,849.40
  6. Step 6: Final answer
    x = 16,416.20

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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.