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Finding the Fourth Proportional to 11,633.41, 17,439.99 and 7,474.60

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Solution

The fourth proportional to 11,633.41, 17,439.99 and 7,474.60 is: 11,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.41 : 17,439.99 = 7,474.60 : x
  2. Step 2: Convert to fraction form
    11,633.41/17,439.99 = 7,474.60/x
  3. Step 3: Cross multiply
    11,633.41x = 17,439.99 × 7,474.60
  4. Step 4: Simplify right side
    11,633.41x = 130,356,949.25
  5. Step 5: Solve for x
    x = 130,356,949.25/11,633.41
  6. Step 6: Final answer
    x = 11,205.39

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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.