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Finding the Fourth Proportional to 13,208.97, 18,230.24 and 8,174.81

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Solution

The fourth proportional to 13,208.97, 18,230.24 and 8,174.81 is: 11,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.97 : 18,230.24 = 8,174.81 : x
  2. Step 2: Convert to fraction form
    13,208.97/18,230.24 = 8,174.81/x
  3. Step 3: Cross multiply
    13,208.97x = 18,230.24 × 8,174.81
  4. Step 4: Simplify right side
    13,208.97x = 149,028,768.69
  5. Step 5: Solve for x
    x = 149,028,768.69/13,208.97
  6. Step 6: Final answer
    x = 11,282.39

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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.