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Finding the Fourth Proportional to 20,175.67, 30,266.34 and 5,385.07

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Solution

The fourth proportional to 20,175.67, 30,266.34 and 5,385.07 is: 8,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.67 : 30,266.34 = 5,385.07 : x
  2. Step 2: Convert to fraction form
    20,175.67/30,266.34 = 5,385.07/x
  3. Step 3: Cross multiply
    20,175.67x = 30,266.34 × 5,385.07
  4. Step 4: Simplify right side
    20,175.67x = 162,986,359.54
  5. Step 5: Solve for x
    x = 162,986,359.54/20,175.67
  6. Step 6: Final answer
    x = 8,078.36

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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.