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Finding the Fourth Proportional to 20,804.28, 31,205.51 and 5,811.49

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Solution

The fourth proportional to 20,804.28, 31,205.51 and 5,811.49 is: 8,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.28 : 31,205.51 = 5,811.49 : x
  2. Step 2: Convert to fraction form
    20,804.28/31,205.51 = 5,811.49/x
  3. Step 3: Cross multiply
    20,804.28x = 31,205.51 × 5,811.49
  4. Step 4: Simplify right side
    20,804.28x = 181,350,324.22
  5. Step 5: Solve for x
    x = 181,350,324.22/20,804.28
  6. Step 6: Final answer
    x = 8,716.97

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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.