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Finding the Fourth Proportional to 20,842.37, 31,254.09 and 8,990.54

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Solution

The fourth proportional to 20,842.37, 31,254.09 and 8,990.54 is: 13,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.37 : 31,254.09 = 8,990.54 : x
  2. Step 2: Convert to fraction form
    20,842.37/31,254.09 = 8,990.54/x
  3. Step 3: Cross multiply
    20,842.37x = 31,254.09 × 8,990.54
  4. Step 4: Simplify right side
    20,842.37x = 280,991,146.31
  5. Step 5: Solve for x
    x = 280,991,146.31/20,842.37
  6. Step 6: Final answer
    x = 13,481.73

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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.