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Finding the Fourth Proportional to 21,318.77, 31,982.76 and 8,171.15

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Solution

The fourth proportional to 21,318.77, 31,982.76 and 8,171.15 is: 12,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.77 : 31,982.76 = 8,171.15 : x
  2. Step 2: Convert to fraction form
    21,318.77/31,982.76 = 8,171.15/x
  3. Step 3: Cross multiply
    21,318.77x = 31,982.76 × 8,171.15
  4. Step 4: Simplify right side
    21,318.77x = 261,335,769.46
  5. Step 5: Solve for x
    x = 261,335,769.46/21,318.77
  6. Step 6: Final answer
    x = 12,258.49

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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.