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Finding the Fourth Proportional to 12,496.41, 18,753.84 and 5,922.61

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Solution

The fourth proportional to 12,496.41, 18,753.84 and 5,922.61 is: 8,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.41 : 18,753.84 = 5,922.61 : x
  2. Step 2: Convert to fraction form
    12,496.41/18,753.84 = 5,922.61/x
  3. Step 3: Cross multiply
    12,496.41x = 18,753.84 × 5,922.61
  4. Step 4: Simplify right side
    12,496.41x = 111,071,633.44
  5. Step 5: Solve for x
    x = 111,071,633.44/12,496.41
  6. Step 6: Final answer
    x = 8,888.28

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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.