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Finding the Fourth Proportional to 16,183.38, 22,333.07 and 9,470.30

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Solution

The fourth proportional to 16,183.38, 22,333.07 and 9,470.30 is: 13,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.38 : 22,333.07 = 9,470.30 : x
  2. Step 2: Convert to fraction form
    16,183.38/22,333.07 = 9,470.30/x
  3. Step 3: Cross multiply
    16,183.38x = 22,333.07 × 9,470.30
  4. Step 4: Simplify right side
    16,183.38x = 211,500,872.82
  5. Step 5: Solve for x
    x = 211,500,872.82/16,183.38
  6. Step 6: Final answer
    x = 13,069.02

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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.