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Finding the Fourth Proportional to 8,014.93, 12,022.67 and 2,171.68

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Solution

The fourth proportional to 8,014.93, 12,022.67 and 2,171.68 is: 3,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.93 : 12,022.67 = 2,171.68 : x
  2. Step 2: Convert to fraction form
    8,014.93/12,022.67 = 2,171.68/x
  3. Step 3: Cross multiply
    8,014.93x = 12,022.67 × 2,171.68
  4. Step 4: Simplify right side
    8,014.93x = 26,109,391.99
  5. Step 5: Solve for x
    x = 26,109,391.99/8,014.93
  6. Step 6: Final answer
    x = 3,257.59

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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.