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Finding the Fourth Proportional to 13,761.50, 18,995.19 and 8,793.50

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Solution

The fourth proportional to 13,761.50, 18,995.19 and 8,793.50 is: 12,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.50 : 18,995.19 = 8,793.50 : x
  2. Step 2: Convert to fraction form
    13,761.50/18,995.19 = 8,793.50/x
  3. Step 3: Cross multiply
    13,761.50x = 18,995.19 × 8,793.50
  4. Step 4: Simplify right side
    13,761.50x = 167,034,203.27
  5. Step 5: Solve for x
    x = 167,034,203.27/13,761.50
  6. Step 6: Final answer
    x = 12,137.79

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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.