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Finding the Fourth Proportional to 14,383.38, 19,844.30 and 8,410.82

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Solution

The fourth proportional to 14,383.38, 19,844.30 and 8,410.82 is: 11,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.38 : 19,844.30 = 8,410.82 : x
  2. Step 2: Convert to fraction form
    14,383.38/19,844.30 = 8,410.82/x
  3. Step 3: Cross multiply
    14,383.38x = 19,844.30 × 8,410.82
  4. Step 4: Simplify right side
    14,383.38x = 166,906,757.13
  5. Step 5: Solve for x
    x = 166,906,757.13/14,383.38
  6. Step 6: Final answer
    x = 11,604.14

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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.