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Finding the Fourth Proportional to 16,906.76, 25,383.14 and 9,516.44

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Solution

The fourth proportional to 16,906.76, 25,383.14 and 9,516.44 is: 14,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.76 : 25,383.14 = 9,516.44 : x
  2. Step 2: Convert to fraction form
    16,906.76/25,383.14 = 9,516.44/x
  3. Step 3: Cross multiply
    16,906.76x = 25,383.14 × 9,516.44
  4. Step 4: Simplify right side
    16,906.76x = 241,557,128.82
  5. Step 5: Solve for x
    x = 241,557,128.82/16,906.76
  6. Step 6: Final answer
    x = 14,287.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.