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Finding the Fourth Proportional to 27,372.67, 41,065.16 and 9,842.50

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Solution

The fourth proportional to 27,372.67, 41,065.16 and 9,842.50 is: 14,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,372.67 : 41,065.16 = 9,842.50 : x
  2. Step 2: Convert to fraction form
    27,372.67/41,065.16 = 9,842.50/x
  3. Step 3: Cross multiply
    27,372.67x = 41,065.16 × 9,842.50
  4. Step 4: Simplify right side
    27,372.67x = 404,183,837.30
  5. Step 5: Solve for x
    x = 404,183,837.30/27,372.67
  6. Step 6: Final answer
    x = 14,765.96

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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.