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Finding the Fourth Proportional to 22,625.26, 33,940.20 and 7,834.15

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Solution

The fourth proportional to 22,625.26, 33,940.20 and 7,834.15 is: 11,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,625.26 : 33,940.20 = 7,834.15 : x
  2. Step 2: Convert to fraction form
    22,625.26/33,940.20 = 7,834.15/x
  3. Step 3: Cross multiply
    22,625.26x = 33,940.20 × 7,834.15
  4. Step 4: Simplify right side
    22,625.26x = 265,892,617.83
  5. Step 5: Solve for x
    x = 265,892,617.83/22,625.26
  6. Step 6: Final answer
    x = 11,752.02

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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.