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Finding the Fourth Proportional to 8,014.82, 12,022.83 and 2,171.88

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Solution

The fourth proportional to 8,014.82, 12,022.83 and 2,171.88 is: 3,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.82 : 12,022.83 = 2,171.88 : x
  2. Step 2: Convert to fraction form
    8,014.82/12,022.83 = 2,171.88/x
  3. Step 3: Cross multiply
    8,014.82x = 12,022.83 × 2,171.88
  4. Step 4: Simplify right side
    8,014.82x = 26,112,144.02
  5. Step 5: Solve for x
    x = 26,112,144.02/8,014.82
  6. Step 6: Final answer
    x = 3,257.98

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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.