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Finding the Fourth Proportional to 12,392.96, 17,096.28 and 8,204.72

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Solution

The fourth proportional to 12,392.96, 17,096.28 and 8,204.72 is: 11,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.96 : 17,096.28 = 8,204.72 : x
  2. Step 2: Convert to fraction form
    12,392.96/17,096.28 = 8,204.72/x
  3. Step 3: Cross multiply
    12,392.96x = 17,096.28 × 8,204.72
  4. Step 4: Simplify right side
    12,392.96x = 140,270,190.44
  5. Step 5: Solve for x
    x = 140,270,190.44/12,392.96
  6. Step 6: Final answer
    x = 11,318.54

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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.