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Finding the Fourth Proportional to 20,789.68, 31,189.42 and 6,749.66

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Solution

The fourth proportional to 20,789.68, 31,189.42 and 6,749.66 is: 10,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,789.68 : 31,189.42 = 6,749.66 : x
  2. Step 2: Convert to fraction form
    20,789.68/31,189.42 = 6,749.66/x
  3. Step 3: Cross multiply
    20,789.68x = 31,189.42 × 6,749.66
  4. Step 4: Simplify right side
    20,789.68x = 210,518,067.01
  5. Step 5: Solve for x
    x = 210,518,067.01/20,789.68
  6. Step 6: Final answer
    x = 10,126.09

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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.