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Finding the Fourth Proportional to 12,135.66, 18,203.13 and 5,896.14

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Solution

The fourth proportional to 12,135.66, 18,203.13 and 5,896.14 is: 8,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.66 : 18,203.13 = 5,896.14 : x
  2. Step 2: Convert to fraction form
    12,135.66/18,203.13 = 5,896.14/x
  3. Step 3: Cross multiply
    12,135.66x = 18,203.13 × 5,896.14
  4. Step 4: Simplify right side
    12,135.66x = 107,328,202.92
  5. Step 5: Solve for x
    x = 107,328,202.92/12,135.66
  6. Step 6: Final answer
    x = 8,844.04

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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.