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Finding the Fourth Proportional to 20,151.56, 30,233.82 and 9,764.12

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Solution

The fourth proportional to 20,151.56, 30,233.82 and 9,764.12 is: 14,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151.56 : 30,233.82 = 9,764.12 : x
  2. Step 2: Convert to fraction form
    20,151.56/30,233.82 = 9,764.12/x
  3. Step 3: Cross multiply
    20,151.56x = 30,233.82 × 9,764.12
  4. Step 4: Simplify right side
    20,151.56x = 295,206,646.54
  5. Step 5: Solve for x
    x = 295,206,646.54/20,151.56
  6. Step 6: Final answer
    x = 14,649.32

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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.