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Finding the Fourth Proportional to 13,408.16, 20,125.04 and 8,224.16

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Solution

The fourth proportional to 13,408.16, 20,125.04 and 8,224.16 is: 12,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.16 : 20,125.04 = 8,224.16 : x
  2. Step 2: Convert to fraction form
    13,408.16/20,125.04 = 8,224.16/x
  3. Step 3: Cross multiply
    13,408.16x = 20,125.04 × 8,224.16
  4. Step 4: Simplify right side
    13,408.16x = 165,511,548.97
  5. Step 5: Solve for x
    x = 165,511,548.97/13,408.16
  6. Step 6: Final answer
    x = 12,344.09

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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.