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Finding the Fourth Proportional to 20,885.72, 31,327.16 and 9,794.84

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Solution

The fourth proportional to 20,885.72, 31,327.16 and 9,794.84 is: 14,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.72 : 31,327.16 = 9,794.84 : x
  2. Step 2: Convert to fraction form
    20,885.72/31,327.16 = 9,794.84/x
  3. Step 3: Cross multiply
    20,885.72x = 31,327.16 × 9,794.84
  4. Step 4: Simplify right side
    20,885.72x = 306,844,519.85
  5. Step 5: Solve for x
    x = 306,844,519.85/20,885.72
  6. Step 6: Final answer
    x = 14,691.59

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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.