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Finding the Fourth Proportional to 20,327.69, 30,484.68 and 6,816.12

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Solution

The fourth proportional to 20,327.69, 30,484.68 and 6,816.12 is: 10,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,327.69 : 30,484.68 = 6,816.12 : x
  2. Step 2: Convert to fraction form
    20,327.69/30,484.68 = 6,816.12/x
  3. Step 3: Cross multiply
    20,327.69x = 30,484.68 × 6,816.12
  4. Step 4: Simplify right side
    20,327.69x = 207,787,237.04
  5. Step 5: Solve for x
    x = 207,787,237.04/20,327.69
  6. Step 6: Final answer
    x = 10,221.88

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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.