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Finding the Fourth Proportional to 12,114.73, 18,179.15 and 5,094.24

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Solution

The fourth proportional to 12,114.73, 18,179.15 and 5,094.24 is: 7,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.73 : 18,179.15 = 5,094.24 : x
  2. Step 2: Convert to fraction form
    12,114.73/18,179.15 = 5,094.24/x
  3. Step 3: Cross multiply
    12,114.73x = 18,179.15 × 5,094.24
  4. Step 4: Simplify right side
    12,114.73x = 92,608,836.73
  5. Step 5: Solve for x
    x = 92,608,836.73/12,114.73
  6. Step 6: Final answer
    x = 7,644.32

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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.