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Finding the Fourth Proportional to 23,180.07, 34,761 and 8,183.99

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Solution

The fourth proportional to 23,180.07, 34,761 and 8,183.99 is: 12,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180.07 : 34,761 = 8,183.99 : x
  2. Step 2: Convert to fraction form
    23,180.07/34,761 = 8,183.99/x
  3. Step 3: Cross multiply
    23,180.07x = 34,761 × 8,183.99
  4. Step 4: Simplify right side
    23,180.07x = 284,483,502.59
  5. Step 5: Solve for x
    x = 284,483,502.59/23,180.07
  6. Step 6: Final answer
    x = 12,272.77

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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.