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Finding the Fourth Proportional to 16,783.50, 23,161.74 and 9,229.44

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Solution

The fourth proportional to 16,783.50, 23,161.74 and 9,229.44 is: 12,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.50 : 23,161.74 = 9,229.44 : x
  2. Step 2: Convert to fraction form
    16,783.50/23,161.74 = 9,229.44/x
  3. Step 3: Cross multiply
    16,783.50x = 23,161.74 × 9,229.44
  4. Step 4: Simplify right side
    16,783.50x = 213,769,889.63
  5. Step 5: Solve for x
    x = 213,769,889.63/16,783.50
  6. Step 6: Final answer
    x = 12,736.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.