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Finding the Fourth Proportional to 18,204.82, 27,317.85 and 7,674.20

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Solution

The fourth proportional to 18,204.82, 27,317.85 and 7,674.20 is: 11,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.82 : 27,317.85 = 7,674.20 : x
  2. Step 2: Convert to fraction form
    18,204.82/27,317.85 = 7,674.20/x
  3. Step 3: Cross multiply
    18,204.82x = 27,317.85 × 7,674.20
  4. Step 4: Simplify right side
    18,204.82x = 209,642,537.80
  5. Step 5: Solve for x
    x = 209,642,537.80/18,204.82
  6. Step 6: Final answer
    x = 11,515.77

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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.