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Finding the Fourth Proportional to 18,042.72, 27,072.16 and 11,467.20

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Solution

The fourth proportional to 18,042.72, 27,072.16 and 11,467.20 is: 17,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.72 : 27,072.16 = 11,467.20 : x
  2. Step 2: Convert to fraction form
    18,042.72/27,072.16 = 11,467.20/x
  3. Step 3: Cross multiply
    18,042.72x = 27,072.16 × 11,467.20
  4. Step 4: Simplify right side
    18,042.72x = 310,441,873.15
  5. Step 5: Solve for x
    x = 310,441,873.15/18,042.72
  6. Step 6: Final answer
    x = 17,205.94

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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.