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Finding the Fourth Proportional to 27,617.64, 41,426.46 and 6,841.14

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Solution

The fourth proportional to 27,617.64, 41,426.46 and 6,841.14 is: 10,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.64 : 41,426.46 = 6,841.14 : x
  2. Step 2: Convert to fraction form
    27,617.64/41,426.46 = 6,841.14/x
  3. Step 3: Cross multiply
    27,617.64x = 41,426.46 × 6,841.14
  4. Step 4: Simplify right side
    27,617.64x = 283,404,212.56
  5. Step 5: Solve for x
    x = 283,404,212.56/27,617.64
  6. Step 6: Final answer
    x = 10,261.71

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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.