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Finding the Fourth Proportional to 13,992.56, 19,309.16 and 8,020.08

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Solution

The fourth proportional to 13,992.56, 19,309.16 and 8,020.08 is: 11,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.56 : 19,309.16 = 8,020.08 : x
  2. Step 2: Convert to fraction form
    13,992.56/19,309.16 = 8,020.08/x
  3. Step 3: Cross multiply
    13,992.56x = 19,309.16 × 8,020.08
  4. Step 4: Simplify right side
    13,992.56x = 154,861,007.93
  5. Step 5: Solve for x
    x = 154,861,007.93/13,992.56
  6. Step 6: Final answer
    x = 11,067.38

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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.