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Finding the Fourth Proportional to 27,841.01, 41,757.47 and 8,114.27

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Solution

The fourth proportional to 27,841.01, 41,757.47 and 8,114.27 is: 12,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.01 : 41,757.47 = 8,114.27 : x
  2. Step 2: Convert to fraction form
    27,841.01/41,757.47 = 8,114.27/x
  3. Step 3: Cross multiply
    27,841.01x = 41,757.47 × 8,114.27
  4. Step 4: Simplify right side
    27,841.01x = 338,831,345.53
  5. Step 5: Solve for x
    x = 338,831,345.53/27,841.01
  6. Step 6: Final answer
    x = 12,170.22

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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.