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Finding the Fourth Proportional to 12,382.39, 18,573.51 and 4,062.34

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Solution

The fourth proportional to 12,382.39, 18,573.51 and 4,062.34 is: 6,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.39 : 18,573.51 = 4,062.34 : x
  2. Step 2: Convert to fraction form
    12,382.39/18,573.51 = 4,062.34/x
  3. Step 3: Cross multiply
    12,382.39x = 18,573.51 × 4,062.34
  4. Step 4: Simplify right side
    12,382.39x = 75,451,912.61
  5. Step 5: Solve for x
    x = 75,451,912.61/12,382.39
  6. Step 6: Final answer
    x = 6,093.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.