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Finding the Fourth Proportional to 27,632.78, 41,436.99 and 7,906.86

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Solution

The fourth proportional to 27,632.78, 41,436.99 and 7,906.86 is: 11,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.78 : 41,436.99 = 7,906.86 : x
  2. Step 2: Convert to fraction form
    27,632.78/41,436.99 = 7,906.86/x
  3. Step 3: Cross multiply
    27,632.78x = 41,436.99 × 7,906.86
  4. Step 4: Simplify right side
    27,632.78x = 327,636,478.75
  5. Step 5: Solve for x
    x = 327,636,478.75/27,632.78
  6. Step 6: Final answer
    x = 11,856.80

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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.