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Finding the Fourth Proportional to 16,819.14, 23,209.92 and 9,650.25

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Solution

The fourth proportional to 16,819.14, 23,209.92 and 9,650.25 is: 13,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.14 : 23,209.92 = 9,650.25 : x
  2. Step 2: Convert to fraction form
    16,819.14/23,209.92 = 9,650.25/x
  3. Step 3: Cross multiply
    16,819.14x = 23,209.92 × 9,650.25
  4. Step 4: Simplify right side
    16,819.14x = 223,981,530.48
  5. Step 5: Solve for x
    x = 223,981,530.48/16,819.14
  6. Step 6: Final answer
    x = 13,317.06

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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.