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Finding the Fourth Proportional to 20,399.64, 30,581.23 and 9,863.76

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Solution

The fourth proportional to 20,399.64, 30,581.23 and 9,863.76 is: 14,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,399.64 : 30,581.23 = 9,863.76 : x
  2. Step 2: Convert to fraction form
    20,399.64/30,581.23 = 9,863.76/x
  3. Step 3: Cross multiply
    20,399.64x = 30,581.23 × 9,863.76
  4. Step 4: Simplify right side
    20,399.64x = 301,645,913.22
  5. Step 5: Solve for x
    x = 301,645,913.22/20,399.64
  6. Step 6: Final answer
    x = 14,786.83

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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.