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Finding the Fourth Proportional to 14,608.50, 20,163.38 and 8,324.52

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Solution

The fourth proportional to 14,608.50, 20,163.38 and 8,324.52 is: 11,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.50 : 20,163.38 = 8,324.52 : x
  2. Step 2: Convert to fraction form
    14,608.50/20,163.38 = 8,324.52/x
  3. Step 3: Cross multiply
    14,608.50x = 20,163.38 × 8,324.52
  4. Step 4: Simplify right side
    14,608.50x = 167,850,460.08
  5. Step 5: Solve for x
    x = 167,850,460.08/14,608.50
  6. Step 6: Final answer
    x = 11,489.92

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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.