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Finding the Fourth Proportional to 16,216.38, 22,379.87 and 9,048.55

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Solution

The fourth proportional to 16,216.38, 22,379.87 and 9,048.55 is: 12,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.38 : 22,379.87 = 9,048.55 : x
  2. Step 2: Convert to fraction form
    16,216.38/22,379.87 = 9,048.55/x
  3. Step 3: Cross multiply
    16,216.38x = 22,379.87 × 9,048.55
  4. Step 4: Simplify right side
    16,216.38x = 202,505,372.69
  5. Step 5: Solve for x
    x = 202,505,372.69/16,216.38
  6. Step 6: Final answer
    x = 12,487.71

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Why These Related Problems?

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