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Finding the Fourth Proportional to 20,196.86, 30,309.13 and 7,049.23

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Solution

The fourth proportional to 20,196.86, 30,309.13 and 7,049.23 is: 10,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.86 : 30,309.13 = 7,049.23 : x
  2. Step 2: Convert to fraction form
    20,196.86/30,309.13 = 7,049.23/x
  3. Step 3: Cross multiply
    20,196.86x = 30,309.13 × 7,049.23
  4. Step 4: Simplify right side
    20,196.86x = 213,656,132.00
  5. Step 5: Solve for x
    x = 213,656,132.00/20,196.86
  6. Step 6: Final answer
    x = 10,578.68

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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.