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Finding the Fourth Proportional to 12,074.97, 18,117.44 and 5,317.09

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Solution

The fourth proportional to 12,074.97, 18,117.44 and 5,317.09 is: 7,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.97 : 18,117.44 = 5,317.09 : x
  2. Step 2: Convert to fraction form
    12,074.97/18,117.44 = 5,317.09/x
  3. Step 3: Cross multiply
    12,074.97x = 18,117.44 × 5,317.09
  4. Step 4: Simplify right side
    12,074.97x = 96,332,027.05
  5. Step 5: Solve for x
    x = 96,332,027.05/12,074.97
  6. Step 6: Final answer
    x = 7,977.83

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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.