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Finding the Fourth Proportional to 20,806.56, 31,217.62 and 10,805.06

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Solution

The fourth proportional to 20,806.56, 31,217.62 and 10,805.06 is: 16,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.56 : 31,217.62 = 10,805.06 : x
  2. Step 2: Convert to fraction form
    20,806.56/31,217.62 = 10,805.06/x
  3. Step 3: Cross multiply
    20,806.56x = 31,217.62 × 10,805.06
  4. Step 4: Simplify right side
    20,806.56x = 337,308,257.16
  5. Step 5: Solve for x
    x = 337,308,257.16/20,806.56
  6. Step 6: Final answer
    x = 16,211.63

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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.