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Finding the Fourth Proportional to 27,489.14, 41,206 and 10,842.74

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Solution

The fourth proportional to 27,489.14, 41,206 and 10,842.74 is: 16,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489.14 : 41,206 = 10,842.74 : x
  2. Step 2: Convert to fraction form
    27,489.14/41,206 = 10,842.74/x
  3. Step 3: Cross multiply
    27,489.14x = 41,206 × 10,842.74
  4. Step 4: Simplify right side
    27,489.14x = 446,785,944.44
  5. Step 5: Solve for x
    x = 446,785,944.44/27,489.14
  6. Step 6: Final answer
    x = 16,253.18

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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.