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Finding the Fourth Proportional to 12,096.88, 18,146 and 3,778.05

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Solution

The fourth proportional to 12,096.88, 18,146 and 3,778.05 is: 5,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.88 : 18,146 = 3,778.05 : x
  2. Step 2: Convert to fraction form
    12,096.88/18,146 = 3,778.05/x
  3. Step 3: Cross multiply
    12,096.88x = 18,146 × 3,778.05
  4. Step 4: Simplify right side
    12,096.88x = 68,556,495.30
  5. Step 5: Solve for x
    x = 68,556,495.30/12,096.88
  6. Step 6: Final answer
    x = 5,667.29

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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.