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Finding the Fourth Proportional to 11,996.85, 17,969.13 and 9,893.28

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Solution

The fourth proportional to 11,996.85, 17,969.13 and 9,893.28 is: 14,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.85 : 17,969.13 = 9,893.28 : x
  2. Step 2: Convert to fraction form
    11,996.85/17,969.13 = 9,893.28/x
  3. Step 3: Cross multiply
    11,996.85x = 17,969.13 × 9,893.28
  4. Step 4: Simplify right side
    11,996.85x = 177,773,634.45
  5. Step 5: Solve for x
    x = 177,773,634.45/11,996.85
  6. Step 6: Final answer
    x = 14,818.36

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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.