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Finding the Fourth Proportional to 20,556.34, 30,833.43 and 5,766.28

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Solution

The fourth proportional to 20,556.34, 30,833.43 and 5,766.28 is: 8,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,556.34 : 30,833.43 = 5,766.28 : x
  2. Step 2: Convert to fraction form
    20,556.34/30,833.43 = 5,766.28/x
  3. Step 3: Cross multiply
    20,556.34x = 30,833.43 × 5,766.28
  4. Step 4: Simplify right side
    20,556.34x = 177,794,190.74
  5. Step 5: Solve for x
    x = 177,794,190.74/20,556.34
  6. Step 6: Final answer
    x = 8,649.12

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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.