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Finding the Fourth Proportional to 20,731.09, 31,077.04 and 8,258.82

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Solution

The fourth proportional to 20,731.09, 31,077.04 and 8,258.82 is: 12,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.09 : 31,077.04 = 8,258.82 : x
  2. Step 2: Convert to fraction form
    20,731.09/31,077.04 = 8,258.82/x
  3. Step 3: Cross multiply
    20,731.09x = 31,077.04 × 8,258.82
  4. Step 4: Simplify right side
    20,731.09x = 256,659,679.49
  5. Step 5: Solve for x
    x = 256,659,679.49/20,731.09
  6. Step 6: Final answer
    x = 12,380.42

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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.