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Finding the Fourth Proportional to 20,650.40, 30,971.28 and 6,791.84

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Solution

The fourth proportional to 20,650.40, 30,971.28 and 6,791.84 is: 10,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.40 : 30,971.28 = 6,791.84 : x
  2. Step 2: Convert to fraction form
    20,650.40/30,971.28 = 6,791.84/x
  3. Step 3: Cross multiply
    20,650.40x = 30,971.28 × 6,791.84
  4. Step 4: Simplify right side
    20,650.40x = 210,351,978.36
  5. Step 5: Solve for x
    x = 210,351,978.36/20,650.40
  6. Step 6: Final answer
    x = 10,186.34

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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.