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Finding the Fourth Proportional to 21,306.82, 31,959.09 and 8,158.18

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Solution

The fourth proportional to 21,306.82, 31,959.09 and 8,158.18 is: 12,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.82 : 31,959.09 = 8,158.18 : x
  2. Step 2: Convert to fraction form
    21,306.82/31,959.09 = 8,158.18/x
  3. Step 3: Cross multiply
    21,306.82x = 31,959.09 × 8,158.18
  4. Step 4: Simplify right side
    21,306.82x = 260,728,008.86
  5. Step 5: Solve for x
    x = 260,728,008.86/21,306.82
  6. Step 6: Final answer
    x = 12,236.83

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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.