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Finding the Fourth Proportional to 18,022.26, 27,028.62 and 12,398.74

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Solution

The fourth proportional to 18,022.26, 27,028.62 and 12,398.74 is: 18,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022.26 : 27,028.62 = 12,398.74 : x
  2. Step 2: Convert to fraction form
    18,022.26/27,028.62 = 12,398.74/x
  3. Step 3: Cross multiply
    18,022.26x = 27,028.62 × 12,398.74
  4. Step 4: Simplify right side
    18,022.26x = 335,120,831.94
  5. Step 5: Solve for x
    x = 335,120,831.94/18,022.26
  6. Step 6: Final answer
    x = 18,594.83

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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.