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Finding the Fourth Proportional to 20,633.18, 30,953.94 and 8,159.12

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Solution

The fourth proportional to 20,633.18, 30,953.94 and 8,159.12 is: 12,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.18 : 30,953.94 = 8,159.12 : x
  2. Step 2: Convert to fraction form
    20,633.18/30,953.94 = 8,159.12/x
  3. Step 3: Cross multiply
    20,633.18x = 30,953.94 × 8,159.12
  4. Step 4: Simplify right side
    20,633.18x = 252,556,910.93
  5. Step 5: Solve for x
    x = 252,556,910.93/20,633.18
  6. Step 6: Final answer
    x = 12,240.33

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