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Finding the Fourth Proportional to 12,647.35, 18,942.84 and 8,938.34

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Solution

The fourth proportional to 12,647.35, 18,942.84 and 8,938.34 is: 13,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.35 : 18,942.84 = 8,938.34 : x
  2. Step 2: Convert to fraction form
    12,647.35/18,942.84 = 8,938.34/x
  3. Step 3: Cross multiply
    12,647.35x = 18,942.84 × 8,938.34
  4. Step 4: Simplify right side
    12,647.35x = 169,317,469.03
  5. Step 5: Solve for x
    x = 169,317,469.03/12,647.35
  6. Step 6: Final answer
    x = 13,387.58

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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.