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Finding the Fourth Proportional to 12,121.68, 18,184.44 and 3,914.32

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Solution

The fourth proportional to 12,121.68, 18,184.44 and 3,914.32 is: 5,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.68 : 18,184.44 = 3,914.32 : x
  2. Step 2: Convert to fraction form
    12,121.68/18,184.44 = 3,914.32/x
  3. Step 3: Cross multiply
    12,121.68x = 18,184.44 × 3,914.32
  4. Step 4: Simplify right side
    12,121.68x = 71,179,717.18
  5. Step 5: Solve for x
    x = 71,179,717.18/12,121.68
  6. Step 6: Final answer
    x = 5,872.10

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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.