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Finding the Fourth Proportional to 16,091.81, 24,137.75 and 6,857.81

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Solution

The fourth proportional to 16,091.81, 24,137.75 and 6,857.81 is: 10,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.81 : 24,137.75 = 6,857.81 : x
  2. Step 2: Convert to fraction form
    16,091.81/24,137.75 = 6,857.81/x
  3. Step 3: Cross multiply
    16,091.81x = 24,137.75 × 6,857.81
  4. Step 4: Simplify right side
    16,091.81x = 165,532,180.82
  5. Step 5: Solve for x
    x = 165,532,180.82/16,091.81
  6. Step 6: Final answer
    x = 10,286.73

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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.