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Finding the Fourth Proportional to 12,091.02, 16,682.31 and 7,375.20

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Solution

The fourth proportional to 12,091.02, 16,682.31 and 7,375.20 is: 10,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.02 : 16,682.31 = 7,375.20 : x
  2. Step 2: Convert to fraction form
    12,091.02/16,682.31 = 7,375.20/x
  3. Step 3: Cross multiply
    12,091.02x = 16,682.31 × 7,375.20
  4. Step 4: Simplify right side
    12,091.02x = 123,035,372.71
  5. Step 5: Solve for x
    x = 123,035,372.71/12,091.02
  6. Step 6: Final answer
    x = 10,175.76

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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.