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Finding the Fourth Proportional to 16,723.72, 23,078.82 and 9,650.44

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Solution

The fourth proportional to 16,723.72, 23,078.82 and 9,650.44 is: 13,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,723.72 : 23,078.82 = 9,650.44 : x
  2. Step 2: Convert to fraction form
    16,723.72/23,078.82 = 9,650.44/x
  3. Step 3: Cross multiply
    16,723.72x = 23,078.82 × 9,650.44
  4. Step 4: Simplify right side
    16,723.72x = 222,720,767.68
  5. Step 5: Solve for x
    x = 222,720,767.68/16,723.72
  6. Step 6: Final answer
    x = 13,317.66

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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.