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Finding the Fourth Proportional to 16,782.23, 23,157.89 and 9,228.44

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Solution

The fourth proportional to 16,782.23, 23,157.89 and 9,228.44 is: 12,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.23 : 23,157.89 = 9,228.44 : x
  2. Step 2: Convert to fraction form
    16,782.23/23,157.89 = 9,228.44/x
  3. Step 3: Cross multiply
    16,782.23x = 23,157.89 × 9,228.44
  4. Step 4: Simplify right side
    16,782.23x = 213,711,198.39
  5. Step 5: Solve for x
    x = 213,711,198.39/16,782.23
  6. Step 6: Final answer
    x = 12,734.37

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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.