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Finding the Fourth Proportional to 13,067.62, 19,502.68 and 11,806.49

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Solution

The fourth proportional to 13,067.62, 19,502.68 and 11,806.49 is: 17,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.62 : 19,502.68 = 11,806.49 : x
  2. Step 2: Convert to fraction form
    13,067.62/19,502.68 = 11,806.49/x
  3. Step 3: Cross multiply
    13,067.62x = 19,502.68 × 11,806.49
  4. Step 4: Simplify right side
    13,067.62x = 230,258,039.85
  5. Step 5: Solve for x
    x = 230,258,039.85/13,067.62
  6. Step 6: Final answer
    x = 17,620.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.