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Finding the Fourth Proportional to 18,162.16, 27,233.36 and 5,676.80

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Solution

The fourth proportional to 18,162.16, 27,233.36 and 5,676.80 is: 8,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162.16 : 27,233.36 = 5,676.80 : x
  2. Step 2: Convert to fraction form
    18,162.16/27,233.36 = 5,676.80/x
  3. Step 3: Cross multiply
    18,162.16x = 27,233.36 × 5,676.80
  4. Step 4: Simplify right side
    18,162.16x = 154,598,338.05
  5. Step 5: Solve for x
    x = 154,598,338.05/18,162.16
  6. Step 6: Final answer
    x = 8,512.11

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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.