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Finding the Fourth Proportional to 22,284.72, 33,397.20 and 8,231.76

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Solution

The fourth proportional to 22,284.72, 33,397.20 and 8,231.76 is: 12,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.72 : 33,397.20 = 8,231.76 : x
  2. Step 2: Convert to fraction form
    22,284.72/33,397.20 = 8,231.76/x
  3. Step 3: Cross multiply
    22,284.72x = 33,397.20 × 8,231.76
  4. Step 4: Simplify right side
    22,284.72x = 274,917,735.07
  5. Step 5: Solve for x
    x = 274,917,735.07/22,284.72
  6. Step 6: Final answer
    x = 12,336.60

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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.