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Finding the Fourth Proportional to 22,149.74, 33,224.78 and 8,110.22

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Solution

The fourth proportional to 22,149.74, 33,224.78 and 8,110.22 is: 12,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.74 : 33,224.78 = 8,110.22 : x
  2. Step 2: Convert to fraction form
    22,149.74/33,224.78 = 8,110.22/x
  3. Step 3: Cross multiply
    22,149.74x = 33,224.78 × 8,110.22
  4. Step 4: Simplify right side
    22,149.74x = 269,460,275.25
  5. Step 5: Solve for x
    x = 269,460,275.25/22,149.74
  6. Step 6: Final answer
    x = 12,165.39

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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.