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Finding the Fourth Proportional to 13,173.50, 18,179.24 and 7,205.09

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Solution

The fourth proportional to 13,173.50, 18,179.24 and 7,205.09 is: 9,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.50 : 18,179.24 = 7,205.09 : x
  2. Step 2: Convert to fraction form
    13,173.50/18,179.24 = 7,205.09/x
  3. Step 3: Cross multiply
    13,173.50x = 18,179.24 × 7,205.09
  4. Step 4: Simplify right side
    13,173.50x = 130,982,933.41
  5. Step 5: Solve for x
    x = 130,982,933.41/13,173.50
  6. Step 6: Final answer
    x = 9,942.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.