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Finding the Fourth Proportional to 20,269.67, 30,383.71 and 7,786.33

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Solution

The fourth proportional to 20,269.67, 30,383.71 and 7,786.33 is: 11,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269.67 : 30,383.71 = 7,786.33 : x
  2. Step 2: Convert to fraction form
    20,269.67/30,383.71 = 7,786.33/x
  3. Step 3: Cross multiply
    20,269.67x = 30,383.71 × 7,786.33
  4. Step 4: Simplify right side
    20,269.67x = 236,577,592.68
  5. Step 5: Solve for x
    x = 236,577,592.68/20,269.67
  6. Step 6: Final answer
    x = 11,671.51

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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.