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Finding the Fourth Proportional to 11,622, 17,436.36 and 3,414

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Solution

The fourth proportional to 11,622, 17,436.36 and 3,414 is: 5,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622 : 17,436.36 = 3,414 : x
  2. Step 2: Convert to fraction form
    11,622/17,436.36 = 3,414/x
  3. Step 3: Cross multiply
    11,622x = 17,436.36 × 3,414
  4. Step 4: Simplify right side
    11,622x = 59,527,733.04
  5. Step 5: Solve for x
    x = 59,527,733.04/11,622
  6. Step 6: Final answer
    x = 5,121.99

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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.