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Finding the Fourth Proportional to 21,318.32, 31,977.75 and 8,171.48

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Solution

The fourth proportional to 21,318.32, 31,977.75 and 8,171.48 is: 12,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.32 : 31,977.75 = 8,171.48 : x
  2. Step 2: Convert to fraction form
    21,318.32/31,977.75 = 8,171.48/x
  3. Step 3: Cross multiply
    21,318.32x = 31,977.75 × 8,171.48
  4. Step 4: Simplify right side
    21,318.32x = 261,305,544.57
  5. Step 5: Solve for x
    x = 261,305,544.57/21,318.32
  6. Step 6: Final answer
    x = 12,257.32

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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.