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Finding the Fourth Proportional to 21,327.84, 31,991.94 and 8,177.09

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Solution

The fourth proportional to 21,327.84, 31,991.94 and 8,177.09 is: 12,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,327.84 : 31,991.94 = 8,177.09 : x
  2. Step 2: Convert to fraction form
    21,327.84/31,991.94 = 8,177.09/x
  3. Step 3: Cross multiply
    21,327.84x = 31,991.94 × 8,177.09
  4. Step 4: Simplify right side
    21,327.84x = 261,600,812.69
  5. Step 5: Solve for x
    x = 261,600,812.69/21,327.84
  6. Step 6: Final answer
    x = 12,265.70

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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.