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Finding the Fourth Proportional to 12,094.92, 18,138.54 and 3,885

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Solution

The fourth proportional to 12,094.92, 18,138.54 and 3,885 is: 5,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.92 : 18,138.54 = 3,885 : x
  2. Step 2: Convert to fraction form
    12,094.92/18,138.54 = 3,885/x
  3. Step 3: Cross multiply
    12,094.92x = 18,138.54 × 3,885
  4. Step 4: Simplify right side
    12,094.92x = 70,468,227.90
  5. Step 5: Solve for x
    x = 70,468,227.90/12,094.92
  6. Step 6: Final answer
    x = 5,826.27

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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.