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Finding the Fourth Proportional to 22,380.12, 33,564.98 and 9,893.34

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Solution

The fourth proportional to 22,380.12, 33,564.98 and 9,893.34 is: 14,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.12 : 33,564.98 = 9,893.34 : x
  2. Step 2: Convert to fraction form
    22,380.12/33,564.98 = 9,893.34/x
  3. Step 3: Cross multiply
    22,380.12x = 33,564.98 × 9,893.34
  4. Step 4: Simplify right side
    22,380.12x = 332,069,759.23
  5. Step 5: Solve for x
    x = 332,069,759.23/22,380.12
  6. Step 6: Final answer
    x = 14,837.71

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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.