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Finding the Fourth Proportional to 15,778.38, 21,771.12 and 9,491.16

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Solution

The fourth proportional to 15,778.38, 21,771.12 and 9,491.16 is: 13,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.38 : 21,771.12 = 9,491.16 : x
  2. Step 2: Convert to fraction form
    15,778.38/21,771.12 = 9,491.16/x
  3. Step 3: Cross multiply
    15,778.38x = 21,771.12 × 9,491.16
  4. Step 4: Simplify right side
    15,778.38x = 206,633,183.30
  5. Step 5: Solve for x
    x = 206,633,183.30/15,778.38
  6. Step 6: Final answer
    x = 13,095.97

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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.