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Finding the Fourth Proportional to 20,990.75, 31,476.65 and 6,194.48

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Solution

The fourth proportional to 20,990.75, 31,476.65 and 6,194.48 is: 9,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.75 : 31,476.65 = 6,194.48 : x
  2. Step 2: Convert to fraction form
    20,990.75/31,476.65 = 6,194.48/x
  3. Step 3: Cross multiply
    20,990.75x = 31,476.65 × 6,194.48
  4. Step 4: Simplify right side
    20,990.75x = 194,981,290.54
  5. Step 5: Solve for x
    x = 194,981,290.54/20,990.75
  6. Step 6: Final answer
    x = 9,288.92

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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.