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Finding the Fourth Proportional to 16,784.82, 23,163.21 and 9,231.20

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Solution

The fourth proportional to 16,784.82, 23,163.21 and 9,231.20 is: 12,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.82 : 23,163.21 = 9,231.20 : x
  2. Step 2: Convert to fraction form
    16,784.82/23,163.21 = 9,231.20/x
  3. Step 3: Cross multiply
    16,784.82x = 23,163.21 × 9,231.20
  4. Step 4: Simplify right side
    16,784.82x = 213,824,108.34
  5. Step 5: Solve for x
    x = 213,824,108.34/16,784.82
  6. Step 6: Final answer
    x = 12,739.14

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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.