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Finding the Fourth Proportional to 12,422.77, 18,634.22 and 3,657.80

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Solution

The fourth proportional to 12,422.77, 18,634.22 and 3,657.80 is: 5,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.77 : 18,634.22 = 3,657.80 : x
  2. Step 2: Convert to fraction form
    12,422.77/18,634.22 = 3,657.80/x
  3. Step 3: Cross multiply
    12,422.77x = 18,634.22 × 3,657.80
  4. Step 4: Simplify right side
    12,422.77x = 68,160,249.92
  5. Step 5: Solve for x
    x = 68,160,249.92/12,422.77
  6. Step 6: Final answer
    x = 5,486.72

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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.