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Finding the Fourth Proportional to 21,309.92, 31,965.18 and 8,162.96

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Solution

The fourth proportional to 21,309.92, 31,965.18 and 8,162.96 is: 12,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.92 : 31,965.18 = 8,162.96 : x
  2. Step 2: Convert to fraction form
    21,309.92/31,965.18 = 8,162.96/x
  3. Step 3: Cross multiply
    21,309.92x = 31,965.18 × 8,162.96
  4. Step 4: Simplify right side
    21,309.92x = 260,930,485.73
  5. Step 5: Solve for x
    x = 260,930,485.73/21,309.92
  6. Step 6: Final answer
    x = 12,244.55

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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.