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Finding the Fourth Proportional to 11,942.37, 17,889.90 and 8,184.90

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Solution

The fourth proportional to 11,942.37, 17,889.90 and 8,184.90 is: 12,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.37 : 17,889.90 = 8,184.90 : x
  2. Step 2: Convert to fraction form
    11,942.37/17,889.90 = 8,184.90/x
  3. Step 3: Cross multiply
    11,942.37x = 17,889.90 × 8,184.90
  4. Step 4: Simplify right side
    11,942.37x = 146,427,042.51
  5. Step 5: Solve for x
    x = 146,427,042.51/11,942.37
  6. Step 6: Final answer
    x = 12,261.14

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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.