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Finding the Fourth Proportional to 27,234.31, 40,832.42 and 13,911.43

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Solution

The fourth proportional to 27,234.31, 40,832.42 and 13,911.43 is: 20,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.31 : 40,832.42 = 13,911.43 : x
  2. Step 2: Convert to fraction form
    27,234.31/40,832.42 = 13,911.43/x
  3. Step 3: Cross multiply
    27,234.31x = 40,832.42 × 13,911.43
  4. Step 4: Simplify right side
    27,234.31x = 568,037,285.26
  5. Step 5: Solve for x
    x = 568,037,285.26/27,234.31
  6. Step 6: Final answer
    x = 20,857.42

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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.