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Finding the Fourth Proportional to 21,129.33, 31,690.81 and 7,086.97

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Solution

The fourth proportional to 21,129.33, 31,690.81 and 7,086.97 is: 10,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.33 : 31,690.81 = 7,086.97 : x
  2. Step 2: Convert to fraction form
    21,129.33/31,690.81 = 7,086.97/x
  3. Step 3: Cross multiply
    21,129.33x = 31,690.81 × 7,086.97
  4. Step 4: Simplify right side
    21,129.33x = 224,591,819.75
  5. Step 5: Solve for x
    x = 224,591,819.75/21,129.33
  6. Step 6: Final answer
    x = 10,629.39

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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.