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Finding the Fourth Proportional to 20,753.95, 31,107.80 and 8,270.73

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Solution

The fourth proportional to 20,753.95, 31,107.80 and 8,270.73 is: 12,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753.95 : 31,107.80 = 8,270.73 : x
  2. Step 2: Convert to fraction form
    20,753.95/31,107.80 = 8,270.73/x
  3. Step 3: Cross multiply
    20,753.95x = 31,107.80 × 8,270.73
  4. Step 4: Simplify right side
    20,753.95x = 257,284,276.34
  5. Step 5: Solve for x
    x = 257,284,276.34/20,753.95
  6. Step 6: Final answer
    x = 12,396.88

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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.