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Finding the Fourth Proportional to 18,186.49, 27,308.43 and 10,823.82

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Solution

The fourth proportional to 18,186.49, 27,308.43 and 10,823.82 is: 16,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.49 : 27,308.43 = 10,823.82 : x
  2. Step 2: Convert to fraction form
    18,186.49/27,308.43 = 10,823.82/x
  3. Step 3: Cross multiply
    18,186.49x = 27,308.43 × 10,823.82
  4. Step 4: Simplify right side
    18,186.49x = 295,581,530.80
  5. Step 5: Solve for x
    x = 295,581,530.80/18,186.49
  6. Step 6: Final answer
    x = 16,252.81

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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.