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Finding the Fourth Proportional to 10,949.70, 16,420.50 and 8,614.26

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Solution

The fourth proportional to 10,949.70, 16,420.50 and 8,614.26 is: 12,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.70 : 16,420.50 = 8,614.26 : x
  2. Step 2: Convert to fraction form
    10,949.70/16,420.50 = 8,614.26/x
  3. Step 3: Cross multiply
    10,949.70x = 16,420.50 × 8,614.26
  4. Step 4: Simplify right side
    10,949.70x = 141,450,456.33
  5. Step 5: Solve for x
    x = 141,450,456.33/10,949.70
  6. Step 6: Final answer
    x = 12,918.20

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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.