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Finding the Fourth Proportional to 27,791.70, 41,683.17 and 9,071.64

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Solution

The fourth proportional to 27,791.70, 41,683.17 and 9,071.64 is: 13,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.70 : 41,683.17 = 9,071.64 : x
  2. Step 2: Convert to fraction form
    27,791.70/41,683.17 = 9,071.64/x
  3. Step 3: Cross multiply
    27,791.70x = 41,683.17 × 9,071.64
  4. Step 4: Simplify right side
    27,791.70x = 378,134,712.30
  5. Step 5: Solve for x
    x = 378,134,712.30/27,791.70
  6. Step 6: Final answer
    x = 13,606.03

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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.