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Finding the Fourth Proportional to 21,327.49, 31,995.33 and 8,178.84

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Solution

The fourth proportional to 21,327.49, 31,995.33 and 8,178.84 is: 12,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,327.49 : 31,995.33 = 8,178.84 : x
  2. Step 2: Convert to fraction form
    21,327.49/31,995.33 = 8,178.84/x
  3. Step 3: Cross multiply
    21,327.49x = 31,995.33 × 8,178.84
  4. Step 4: Simplify right side
    21,327.49x = 261,684,684.82
  5. Step 5: Solve for x
    x = 261,684,684.82/21,327.49
  6. Step 6: Final answer
    x = 12,269.83

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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.