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Finding the Fourth Proportional to 11,638.72, 17,474.48 and 8,350.02

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Solution

The fourth proportional to 11,638.72, 17,474.48 and 8,350.02 is: 12,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.72 : 17,474.48 = 8,350.02 : x
  2. Step 2: Convert to fraction form
    11,638.72/17,474.48 = 8,350.02/x
  3. Step 3: Cross multiply
    11,638.72x = 17,474.48 × 8,350.02
  4. Step 4: Simplify right side
    11,638.72x = 145,912,257.49
  5. Step 5: Solve for x
    x = 145,912,257.49/11,638.72
  6. Step 6: Final answer
    x = 12,536.80

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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.