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Finding the Fourth Proportional to 20,811, 31,219.61 and 7,662.36

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Solution

The fourth proportional to 20,811, 31,219.61 and 7,662.36 is: 11,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811 : 31,219.61 = 7,662.36 : x
  2. Step 2: Convert to fraction form
    20,811/31,219.61 = 7,662.36/x
  3. Step 3: Cross multiply
    20,811x = 31,219.61 × 7,662.36
  4. Step 4: Simplify right side
    20,811x = 239,215,890.88
  5. Step 5: Solve for x
    x = 239,215,890.88/20,811
  6. Step 6: Final answer
    x = 11,494.69

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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.