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Finding the Fourth Proportional to 22,321.12, 33,434.92 and 13,408.12

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Solution

The fourth proportional to 22,321.12, 33,434.92 and 13,408.12 is: 20,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321.12 : 33,434.92 = 13,408.12 : x
  2. Step 2: Convert to fraction form
    22,321.12/33,434.92 = 13,408.12/x
  3. Step 3: Cross multiply
    22,321.12x = 33,434.92 × 13,408.12
  4. Step 4: Simplify right side
    22,321.12x = 448,299,419.55
  5. Step 5: Solve for x
    x = 448,299,419.55/22,321.12
  6. Step 6: Final answer
    x = 20,084.09

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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.