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Finding the Fourth Proportional to 12,091.68, 16,682.76 and 7,374.24

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Solution

The fourth proportional to 12,091.68, 16,682.76 and 7,374.24 is: 10,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.68 : 16,682.76 = 7,374.24 : x
  2. Step 2: Convert to fraction form
    12,091.68/16,682.76 = 7,374.24/x
  3. Step 3: Cross multiply
    12,091.68x = 16,682.76 × 7,374.24
  4. Step 4: Simplify right side
    12,091.68x = 123,022,676.10
  5. Step 5: Solve for x
    x = 123,022,676.10/12,091.68
  6. Step 6: Final answer
    x = 10,174.16

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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.