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Finding the Fourth Proportional to 20,789.89, 31,184.39 and 6,749.89

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Solution

The fourth proportional to 20,789.89, 31,184.39 and 6,749.89 is: 10,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,789.89 : 31,184.39 = 6,749.89 : x
  2. Step 2: Convert to fraction form
    20,789.89/31,184.39 = 6,749.89/x
  3. Step 3: Cross multiply
    20,789.89x = 31,184.39 × 6,749.89
  4. Step 4: Simplify right side
    20,789.89x = 210,491,202.22
  5. Step 5: Solve for x
    x = 210,491,202.22/20,789.89
  6. Step 6: Final answer
    x = 10,124.69

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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.