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Finding the Fourth Proportional to 20,679.40, 31,028.70 and 10,829.80

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Solution

The fourth proportional to 20,679.40, 31,028.70 and 10,829.80 is: 16,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.40 : 31,028.70 = 10,829.80 : x
  2. Step 2: Convert to fraction form
    20,679.40/31,028.70 = 10,829.80/x
  3. Step 3: Cross multiply
    20,679.40x = 31,028.70 × 10,829.80
  4. Step 4: Simplify right side
    20,679.40x = 336,034,615.26
  5. Step 5: Solve for x
    x = 336,034,615.26/20,679.40
  6. Step 6: Final answer
    x = 16,249.73

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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.