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Finding the Fourth Proportional to 11,814.74, 16,305.48 and 8,825.38

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Solution

The fourth proportional to 11,814.74, 16,305.48 and 8,825.38 is: 12,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.74 : 16,305.48 = 8,825.38 : x
  2. Step 2: Convert to fraction form
    11,814.74/16,305.48 = 8,825.38/x
  3. Step 3: Cross multiply
    11,814.74x = 16,305.48 × 8,825.38
  4. Step 4: Simplify right side
    11,814.74x = 143,902,057.08
  5. Step 5: Solve for x
    x = 143,902,057.08/11,814.74
  6. Step 6: Final answer
    x = 12,179.88

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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.