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Finding the Fourth Proportional to 22,208.94, 33,296.94 and 13,441.80

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Solution

The fourth proportional to 22,208.94, 33,296.94 and 13,441.80 is: 20,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.94 : 33,296.94 = 13,441.80 : x
  2. Step 2: Convert to fraction form
    22,208.94/33,296.94 = 13,441.80/x
  3. Step 3: Cross multiply
    22,208.94x = 33,296.94 × 13,441.80
  4. Step 4: Simplify right side
    22,208.94x = 447,570,808.09
  5. Step 5: Solve for x
    x = 447,570,808.09/22,208.94
  6. Step 6: Final answer
    x = 20,152.73

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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.