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Finding the Fourth Proportional to 12,096.96, 16,693.50 and 6,791.66

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Solution

The fourth proportional to 12,096.96, 16,693.50 and 6,791.66 is: 9,372.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.96 : 16,693.50 = 6,791.66 : x
  2. Step 2: Convert to fraction form
    12,096.96/16,693.50 = 6,791.66/x
  3. Step 3: Cross multiply
    12,096.96x = 16,693.50 × 6,791.66
  4. Step 4: Simplify right side
    12,096.96x = 113,376,576.21
  5. Step 5: Solve for x
    x = 113,376,576.21/12,096.96
  6. Step 6: Final answer
    x = 9,372.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.