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Finding the Fourth Proportional to 22,097.96, 33,142.62 and 8,244.20

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Solution

The fourth proportional to 22,097.96, 33,142.62 and 8,244.20 is: 12,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.96 : 33,142.62 = 8,244.20 : x
  2. Step 2: Convert to fraction form
    22,097.96/33,142.62 = 8,244.20/x
  3. Step 3: Cross multiply
    22,097.96x = 33,142.62 × 8,244.20
  4. Step 4: Simplify right side
    22,097.96x = 273,234,387.80
  5. Step 5: Solve for x
    x = 273,234,387.80/22,097.96
  6. Step 6: Final answer
    x = 12,364.69

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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.