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Finding the Fourth Proportional to 16,509.48, 24,765.66 and 7,270.44

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Solution

The fourth proportional to 16,509.48, 24,765.66 and 7,270.44 is: 10,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.48 : 24,765.66 = 7,270.44 : x
  2. Step 2: Convert to fraction form
    16,509.48/24,765.66 = 7,270.44/x
  3. Step 3: Cross multiply
    16,509.48x = 24,765.66 × 7,270.44
  4. Step 4: Simplify right side
    16,509.48x = 180,057,245.09
  5. Step 5: Solve for x
    x = 180,057,245.09/16,509.48
  6. Step 6: Final answer
    x = 10,906.29

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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.