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Finding the Fourth Proportional to 13,622.40, 20,408.40 and 7,761.60

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Solution

The fourth proportional to 13,622.40, 20,408.40 and 7,761.60 is: 11,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,622.40 : 20,408.40 = 7,761.60 : x
  2. Step 2: Convert to fraction form
    13,622.40/20,408.40 = 7,761.60/x
  3. Step 3: Cross multiply
    13,622.40x = 20,408.40 × 7,761.60
  4. Step 4: Simplify right side
    13,622.40x = 158,401,837.44
  5. Step 5: Solve for x
    x = 158,401,837.44/13,622.40
  6. Step 6: Final answer
    x = 11,628.04

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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.