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Finding the Fourth Proportional to 11,311.76, 16,884.20 and 9,982.28

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Solution

The fourth proportional to 11,311.76, 16,884.20 and 9,982.28 is: 14,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.76 : 16,884.20 = 9,982.28 : x
  2. Step 2: Convert to fraction form
    11,311.76/16,884.20 = 9,982.28/x
  3. Step 3: Cross multiply
    11,311.76x = 16,884.20 × 9,982.28
  4. Step 4: Simplify right side
    11,311.76x = 168,542,811.98
  5. Step 5: Solve for x
    x = 168,542,811.98/11,311.76
  6. Step 6: Final answer
    x = 14,899.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.