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Finding the Fourth Proportional to 20,861.46, 31,294.12 and 6,821.56

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Solution

The fourth proportional to 20,861.46, 31,294.12 and 6,821.56 is: 10,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.46 : 31,294.12 = 6,821.56 : x
  2. Step 2: Convert to fraction form
    20,861.46/31,294.12 = 6,821.56/x
  3. Step 3: Cross multiply
    20,861.46x = 31,294.12 × 6,821.56
  4. Step 4: Simplify right side
    20,861.46x = 213,474,717.23
  5. Step 5: Solve for x
    x = 213,474,717.23/20,861.46
  6. Step 6: Final answer
    x = 10,232.97

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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.