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Finding the Fourth Proportional to 11,611.36, 17,439.45 and 9,949.24

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Solution

The fourth proportional to 11,611.36, 17,439.45 and 9,949.24 is: 14,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.36 : 17,439.45 = 9,949.24 : x
  2. Step 2: Convert to fraction form
    11,611.36/17,439.45 = 9,949.24/x
  3. Step 3: Cross multiply
    11,611.36x = 17,439.45 × 9,949.24
  4. Step 4: Simplify right side
    11,611.36x = 173,509,273.52
  5. Step 5: Solve for x
    x = 173,509,273.52/11,611.36
  6. Step 6: Final answer
    x = 14,943.06

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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.