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Finding the Fourth Proportional to 16,311.38, 22,509.70 and 9,238.25

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Solution

The fourth proportional to 16,311.38, 22,509.70 and 9,238.25 is: 12,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.38 : 22,509.70 = 9,238.25 : x
  2. Step 2: Convert to fraction form
    16,311.38/22,509.70 = 9,238.25/x
  3. Step 3: Cross multiply
    16,311.38x = 22,509.70 × 9,238.25
  4. Step 4: Simplify right side
    16,311.38x = 207,950,269.20
  5. Step 5: Solve for x
    x = 207,950,269.20/16,311.38
  6. Step 6: Final answer
    x = 12,748.79

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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.