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Finding the Fourth Proportional to 22,224.35, 33,349.67 and 8,194.19

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Solution

The fourth proportional to 22,224.35, 33,349.67 and 8,194.19 is: 12,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,224.35 : 33,349.67 = 8,194.19 : x
  2. Step 2: Convert to fraction form
    22,224.35/33,349.67 = 8,194.19/x
  3. Step 3: Cross multiply
    22,224.35x = 33,349.67 × 8,194.19
  4. Step 4: Simplify right side
    22,224.35x = 273,273,495.31
  5. Step 5: Solve for x
    x = 273,273,495.31/22,224.35
  6. Step 6: Final answer
    x = 12,296.13

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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.