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Finding the Fourth Proportional to 20,013.69, 30,021.15 and 6,865.88

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Solution

The fourth proportional to 20,013.69, 30,021.15 and 6,865.88 is: 10,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013.69 : 30,021.15 = 6,865.88 : x
  2. Step 2: Convert to fraction form
    20,013.69/30,021.15 = 6,865.88/x
  3. Step 3: Cross multiply
    20,013.69x = 30,021.15 × 6,865.88
  4. Step 4: Simplify right side
    20,013.69x = 206,121,463.26
  5. Step 5: Solve for x
    x = 206,121,463.26/20,013.69
  6. Step 6: Final answer
    x = 10,299.02

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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.