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Finding the Fourth Proportional to 20,101.50, 30,107.61 and 11,316.78

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Solution

The fourth proportional to 20,101.50, 30,107.61 and 11,316.78 is: 16,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.50 : 30,107.61 = 11,316.78 : x
  2. Step 2: Convert to fraction form
    20,101.50/30,107.61 = 11,316.78/x
  3. Step 3: Cross multiply
    20,101.50x = 30,107.61 × 11,316.78
  4. Step 4: Simplify right side
    20,101.50x = 340,721,198.70
  5. Step 5: Solve for x
    x = 340,721,198.70/20,101.50
  6. Step 6: Final answer
    x = 16,950.04

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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.