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Finding the Fourth Proportional to 20,654.47, 30,983.74 and 6,610.96

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Solution

The fourth proportional to 20,654.47, 30,983.74 and 6,610.96 is: 9,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,654.47 : 30,983.74 = 6,610.96 : x
  2. Step 2: Convert to fraction form
    20,654.47/30,983.74 = 6,610.96/x
  3. Step 3: Cross multiply
    20,654.47x = 30,983.74 × 6,610.96
  4. Step 4: Simplify right side
    20,654.47x = 204,832,287.99
  5. Step 5: Solve for x
    x = 204,832,287.99/20,654.47
  6. Step 6: Final answer
    x = 9,917.09

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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.