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Finding the Fourth Proportional to 11,634.30, 17,414.01 and 8,128.62

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Solution

The fourth proportional to 11,634.30, 17,414.01 and 8,128.62 is: 12,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.30 : 17,414.01 = 8,128.62 : x
  2. Step 2: Convert to fraction form
    11,634.30/17,414.01 = 8,128.62/x
  3. Step 3: Cross multiply
    11,634.30x = 17,414.01 × 8,128.62
  4. Step 4: Simplify right side
    11,634.30x = 141,551,869.97
  5. Step 5: Solve for x
    x = 141,551,869.97/11,634.30
  6. Step 6: Final answer
    x = 12,166.77

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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.