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Finding the Fourth Proportional to 11,754.92, 17,737.20 and 11,299.29

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Solution

The fourth proportional to 11,754.92, 17,737.20 and 11,299.29 is: 17,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.92 : 17,737.20 = 11,299.29 : x
  2. Step 2: Convert to fraction form
    11,754.92/17,737.20 = 11,299.29/x
  3. Step 3: Cross multiply
    11,754.92x = 17,737.20 × 11,299.29
  4. Step 4: Simplify right side
    11,754.92x = 200,417,766.59
  5. Step 5: Solve for x
    x = 200,417,766.59/11,754.92
  6. Step 6: Final answer
    x = 17,049.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.