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Finding the Fourth Proportional to 20,990.70, 31,481.84 and 10,312.60

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Solution

The fourth proportional to 20,990.70, 31,481.84 and 10,312.60 is: 15,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.70 : 31,481.84 = 10,312.60 : x
  2. Step 2: Convert to fraction form
    20,990.70/31,481.84 = 10,312.60/x
  3. Step 3: Cross multiply
    20,990.70x = 31,481.84 × 10,312.60
  4. Step 4: Simplify right side
    20,990.70x = 324,659,623.18
  5. Step 5: Solve for x
    x = 324,659,623.18/20,990.70
  6. Step 6: Final answer
    x = 15,466.83

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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.