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Finding the Fourth Proportional to 20,177.21, 30,270.67 and 6,326.21

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Solution

The fourth proportional to 20,177.21, 30,270.67 and 6,326.21 is: 9,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.21 : 30,270.67 = 6,326.21 : x
  2. Step 2: Convert to fraction form
    20,177.21/30,270.67 = 6,326.21/x
  3. Step 3: Cross multiply
    20,177.21x = 30,270.67 × 6,326.21
  4. Step 4: Simplify right side
    20,177.21x = 191,498,448.09
  5. Step 5: Solve for x
    x = 191,498,448.09/20,177.21
  6. Step 6: Final answer
    x = 9,490.83

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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.