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Finding the Fourth Proportional to 20,775.44, 31,163.16 and 5,193.20

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Solution

The fourth proportional to 20,775.44, 31,163.16 and 5,193.20 is: 7,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.44 : 31,163.16 = 5,193.20 : x
  2. Step 2: Convert to fraction form
    20,775.44/31,163.16 = 5,193.20/x
  3. Step 3: Cross multiply
    20,775.44x = 31,163.16 × 5,193.20
  4. Step 4: Simplify right side
    20,775.44x = 161,836,522.51
  5. Step 5: Solve for x
    x = 161,836,522.51/20,775.44
  6. Step 6: Final answer
    x = 7,789.80

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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.