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Finding the Fourth Proportional to 20,383.56, 30,573.78 and 6,343.20

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Solution

The fourth proportional to 20,383.56, 30,573.78 and 6,343.20 is: 9,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.56 : 30,573.78 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    20,383.56/30,573.78 = 6,343.20/x
  3. Step 3: Cross multiply
    20,383.56x = 30,573.78 × 6,343.20
  4. Step 4: Simplify right side
    20,383.56x = 193,935,601.30
  5. Step 5: Solve for x
    x = 193,935,601.30/20,383.56
  6. Step 6: Final answer
    x = 9,514.31

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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.