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Finding the Fourth Proportional to 11,734.14, 17,602.02 and 3,414.18

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Solution

The fourth proportional to 11,734.14, 17,602.02 and 3,414.18 is: 5,121.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.14 : 17,602.02 = 3,414.18 : x
  2. Step 2: Convert to fraction form
    11,734.14/17,602.02 = 3,414.18/x
  3. Step 3: Cross multiply
    11,734.14x = 17,602.02 × 3,414.18
  4. Step 4: Simplify right side
    11,734.14x = 60,096,464.64
  5. Step 5: Solve for x
    x = 60,096,464.64/11,734.14
  6. Step 6: Final answer
    x = 5,121.51

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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.