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Finding the Fourth Proportional to 20,761.88, 31,142.48 and 9,662.36

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Solution

The fourth proportional to 20,761.88, 31,142.48 and 9,662.36 is: 14,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.88 : 31,142.48 = 9,662.36 : x
  2. Step 2: Convert to fraction form
    20,761.88/31,142.48 = 9,662.36/x
  3. Step 3: Cross multiply
    20,761.88x = 31,142.48 × 9,662.36
  4. Step 4: Simplify right side
    20,761.88x = 300,909,649.03
  5. Step 5: Solve for x
    x = 300,909,649.03/20,761.88
  6. Step 6: Final answer
    x = 14,493.38

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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.