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Finding the Fourth Proportional to 21,584.35, 32,380.97 and 9,104.41

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Solution

The fourth proportional to 21,584.35, 32,380.97 and 9,104.41 is: 13,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.35 : 32,380.97 = 9,104.41 : x
  2. Step 2: Convert to fraction form
    21,584.35/32,380.97 = 9,104.41/x
  3. Step 3: Cross multiply
    21,584.35x = 32,380.97 × 9,104.41
  4. Step 4: Simplify right side
    21,584.35x = 294,809,622.03
  5. Step 5: Solve for x
    x = 294,809,622.03/21,584.35
  6. Step 6: Final answer
    x = 13,658.49

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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.