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Finding the Fourth Proportional to 16,863.69, 23,270.24 and 9,309.54

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Solution

The fourth proportional to 16,863.69, 23,270.24 and 9,309.54 is: 12,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.69 : 23,270.24 = 9,309.54 : x
  2. Step 2: Convert to fraction form
    16,863.69/23,270.24 = 9,309.54/x
  3. Step 3: Cross multiply
    16,863.69x = 23,270.24 × 9,309.54
  4. Step 4: Simplify right side
    16,863.69x = 216,635,183.54
  5. Step 5: Solve for x
    x = 216,635,183.54/16,863.69
  6. Step 6: Final answer
    x = 12,846.25

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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.