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Finding the Fourth Proportional to 22,205.94, 33,292.44 and 13,438.80

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Solution

The fourth proportional to 22,205.94, 33,292.44 and 13,438.80 is: 20,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.94 : 33,292.44 = 13,438.80 : x
  2. Step 2: Convert to fraction form
    22,205.94/33,292.44 = 13,438.80/x
  3. Step 3: Cross multiply
    22,205.94x = 33,292.44 × 13,438.80
  4. Step 4: Simplify right side
    22,205.94x = 447,410,442.67
  5. Step 5: Solve for x
    x = 447,410,442.67/22,205.94
  6. Step 6: Final answer
    x = 20,148.23

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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.