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Finding the Fourth Proportional to 13,199.88, 18,215.36 and 7,231.62

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Solution

The fourth proportional to 13,199.88, 18,215.36 and 7,231.62 is: 9,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.88 : 18,215.36 = 7,231.62 : x
  2. Step 2: Convert to fraction form
    13,199.88/18,215.36 = 7,231.62/x
  3. Step 3: Cross multiply
    13,199.88x = 18,215.36 × 7,231.62
  4. Step 4: Simplify right side
    13,199.88x = 131,726,561.68
  5. Step 5: Solve for x
    x = 131,726,561.68/13,199.88
  6. Step 6: Final answer
    x = 9,979.38

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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.