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Finding the Fourth Proportional to 15,163.86, 20,923.62 and 8,447.96

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Solution

The fourth proportional to 15,163.86, 20,923.62 and 8,447.96 is: 11,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163.86 : 20,923.62 = 8,447.96 : x
  2. Step 2: Convert to fraction form
    15,163.86/20,923.62 = 8,447.96/x
  3. Step 3: Cross multiply
    15,163.86x = 20,923.62 × 8,447.96
  4. Step 4: Simplify right side
    15,163.86x = 176,761,904.82
  5. Step 5: Solve for x
    x = 176,761,904.82/15,163.86
  6. Step 6: Final answer
    x = 11,656.79

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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.