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Finding the Fourth Proportional to 20,794.72, 31,192.22 and 8,315.80

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Solution

The fourth proportional to 20,794.72, 31,192.22 and 8,315.80 is: 12,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.72 : 31,192.22 = 8,315.80 : x
  2. Step 2: Convert to fraction form
    20,794.72/31,192.22 = 8,315.80/x
  3. Step 3: Cross multiply
    20,794.72x = 31,192.22 × 8,315.80
  4. Step 4: Simplify right side
    20,794.72x = 259,388,263.08
  5. Step 5: Solve for x
    x = 259,388,263.08/20,794.72
  6. Step 6: Final answer
    x = 12,473.76

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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.