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Finding the Fourth Proportional to 18,224.82, 27,315.90 and 8,365.05

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Solution

The fourth proportional to 18,224.82, 27,315.90 and 8,365.05 is: 12,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.82 : 27,315.90 = 8,365.05 : x
  2. Step 2: Convert to fraction form
    18,224.82/27,315.90 = 8,365.05/x
  3. Step 3: Cross multiply
    18,224.82x = 27,315.90 × 8,365.05
  4. Step 4: Simplify right side
    18,224.82x = 228,498,869.30
  5. Step 5: Solve for x
    x = 228,498,869.30/18,224.82
  6. Step 6: Final answer
    x = 12,537.78

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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.