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Finding the Fourth Proportional to 27,853.92, 41,781.69 and 8,130.42

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Solution

The fourth proportional to 27,853.92, 41,781.69 and 8,130.42 is: 12,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.92 : 41,781.69 = 8,130.42 : x
  2. Step 2: Convert to fraction form
    27,853.92/41,781.69 = 8,130.42/x
  3. Step 3: Cross multiply
    27,853.92x = 41,781.69 × 8,130.42
  4. Step 4: Simplify right side
    27,853.92x = 339,702,688.01
  5. Step 5: Solve for x
    x = 339,702,688.01/27,853.92
  6. Step 6: Final answer
    x = 12,195.87

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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.