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Finding the Fourth Proportional to 15,995.82, 23,993.73 and 8,199.66

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Solution

The fourth proportional to 15,995.82, 23,993.73 and 8,199.66 is: 12,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,995.82 : 23,993.73 = 8,199.66 : x
  2. Step 2: Convert to fraction form
    15,995.82/23,993.73 = 8,199.66/x
  3. Step 3: Cross multiply
    15,995.82x = 23,993.73 × 8,199.66
  4. Step 4: Simplify right side
    15,995.82x = 196,740,428.13
  5. Step 5: Solve for x
    x = 196,740,428.13/15,995.82
  6. Step 6: Final answer
    x = 12,299.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.