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Finding the Fourth Proportional to 12,542.94, 18,813.99 and 4,222.80

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Solution

The fourth proportional to 12,542.94, 18,813.99 and 4,222.80 is: 6,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.94 : 18,813.99 = 4,222.80 : x
  2. Step 2: Convert to fraction form
    12,542.94/18,813.99 = 4,222.80/x
  3. Step 3: Cross multiply
    12,542.94x = 18,813.99 × 4,222.80
  4. Step 4: Simplify right side
    12,542.94x = 79,447,716.97
  5. Step 5: Solve for x
    x = 79,447,716.97/12,542.94
  6. Step 6: Final answer
    x = 6,334.06

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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.