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Finding the Fourth Proportional to 20,750.75, 31,126.67 and 6,899.75

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Solution

The fourth proportional to 20,750.75, 31,126.67 and 6,899.75 is: 10,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.75 : 31,126.67 = 6,899.75 : x
  2. Step 2: Convert to fraction form
    20,750.75/31,126.67 = 6,899.75/x
  3. Step 3: Cross multiply
    20,750.75x = 31,126.67 × 6,899.75
  4. Step 4: Simplify right side
    20,750.75x = 214,766,241.33
  5. Step 5: Solve for x
    x = 214,766,241.33/20,750.75
  6. Step 6: Final answer
    x = 10,349.81

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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.