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Finding the Fourth Proportional to 10,820.28, 16,230.42 and 9,861.24

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Solution

The fourth proportional to 10,820.28, 16,230.42 and 9,861.24 is: 14,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.28 : 16,230.42 = 9,861.24 : x
  2. Step 2: Convert to fraction form
    10,820.28/16,230.42 = 9,861.24/x
  3. Step 3: Cross multiply
    10,820.28x = 16,230.42 × 9,861.24
  4. Step 4: Simplify right side
    10,820.28x = 160,052,066.92
  5. Step 5: Solve for x
    x = 160,052,066.92/10,820.28
  6. Step 6: Final answer
    x = 14,791.86

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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.