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Finding the Fourth Proportional to 20,682.36, 31,005.99 and 8,211.15

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Solution

The fourth proportional to 20,682.36, 31,005.99 and 8,211.15 is: 12,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.36 : 31,005.99 = 8,211.15 : x
  2. Step 2: Convert to fraction form
    20,682.36/31,005.99 = 8,211.15/x
  3. Step 3: Cross multiply
    20,682.36x = 31,005.99 × 8,211.15
  4. Step 4: Simplify right side
    20,682.36x = 254,594,834.79
  5. Step 5: Solve for x
    x = 254,594,834.79/20,682.36
  6. Step 6: Final answer
    x = 12,309.76

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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.