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Finding the Fourth Proportional to 20,816.64, 31,221.96 and 6,777.96

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Solution

The fourth proportional to 20,816.64, 31,221.96 and 6,777.96 is: 10,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,816.64 : 31,221.96 = 6,777.96 : x
  2. Step 2: Convert to fraction form
    20,816.64/31,221.96 = 6,777.96/x
  3. Step 3: Cross multiply
    20,816.64x = 31,221.96 × 6,777.96
  4. Step 4: Simplify right side
    20,816.64x = 211,621,196.00
  5. Step 5: Solve for x
    x = 211,621,196.00/20,816.64
  6. Step 6: Final answer
    x = 10,165.96

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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.