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Finding the Fourth Proportional to 13,704.96, 18,915.84 and 8,736

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Solution

The fourth proportional to 13,704.96, 18,915.84 and 8,736 is: 12,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.96 : 18,915.84 = 8,736 : x
  2. Step 2: Convert to fraction form
    13,704.96/18,915.84 = 8,736/x
  3. Step 3: Cross multiply
    13,704.96x = 18,915.84 × 8,736
  4. Step 4: Simplify right side
    13,704.96x = 165,248,778.24
  5. Step 5: Solve for x
    x = 165,248,778.24/13,704.96
  6. Step 6: Final answer
    x = 12,057.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.