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Finding the Fourth Proportional to 20,663.64, 30,996.68 and 6,812.64

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Solution

The fourth proportional to 20,663.64, 30,996.68 and 6,812.64 is: 10,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,663.64 : 30,996.68 = 6,812.64 : x
  2. Step 2: Convert to fraction form
    20,663.64/30,996.68 = 6,812.64/x
  3. Step 3: Cross multiply
    20,663.64x = 30,996.68 × 6,812.64
  4. Step 4: Simplify right side
    20,663.64x = 211,169,187.97
  5. Step 5: Solve for x
    x = 211,169,187.97/20,663.64
  6. Step 6: Final answer
    x = 10,219.36

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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.