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Finding the Fourth Proportional to 22,384.83, 33,512.40 and 16,861.44

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Solution

The fourth proportional to 22,384.83, 33,512.40 and 16,861.44 is: 25,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.83 : 33,512.40 = 16,861.44 : x
  2. Step 2: Convert to fraction form
    22,384.83/33,512.40 = 16,861.44/x
  3. Step 3: Cross multiply
    22,384.83x = 33,512.40 × 16,861.44
  4. Step 4: Simplify right side
    22,384.83x = 565,067,321.86
  5. Step 5: Solve for x
    x = 565,067,321.86/22,384.83
  6. Step 6: Final answer
    x = 25,243.32

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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.