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Finding the Fourth Proportional to 27,010.31, 40,499.46 and 9,234.68

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Solution

The fourth proportional to 27,010.31, 40,499.46 and 9,234.68 is: 13,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,010.31 : 40,499.46 = 9,234.68 : x
  2. Step 2: Convert to fraction form
    27,010.31/40,499.46 = 9,234.68/x
  3. Step 3: Cross multiply
    27,010.31x = 40,499.46 × 9,234.68
  4. Step 4: Simplify right side
    27,010.31x = 373,999,350.78
  5. Step 5: Solve for x
    x = 373,999,350.78/27,010.31
  6. Step 6: Final answer
    x = 13,846.54

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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.