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Finding the Fourth Proportional to 16,481.20, 24,706.74 and 7,115.36

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Solution

The fourth proportional to 16,481.20, 24,706.74 and 7,115.36 is: 10,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.20 : 24,706.74 = 7,115.36 : x
  2. Step 2: Convert to fraction form
    16,481.20/24,706.74 = 7,115.36/x
  3. Step 3: Cross multiply
    16,481.20x = 24,706.74 × 7,115.36
  4. Step 4: Simplify right side
    16,481.20x = 175,797,349.53
  5. Step 5: Solve for x
    x = 175,797,349.53/16,481.20
  6. Step 6: Final answer
    x = 10,666.54

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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.