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Finding the Fourth Proportional to 22,055.22, 33,063.39 and 8,194.50

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Solution

The fourth proportional to 22,055.22, 33,063.39 and 8,194.50 is: 12,284.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,055.22 : 33,063.39 = 8,194.50 : x
  2. Step 2: Convert to fraction form
    22,055.22/33,063.39 = 8,194.50/x
  3. Step 3: Cross multiply
    22,055.22x = 33,063.39 × 8,194.50
  4. Step 4: Simplify right side
    22,055.22x = 270,937,949.36
  5. Step 5: Solve for x
    x = 270,937,949.36/22,055.22
  6. Step 6: Final answer
    x = 12,284.53

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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.