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Finding the Fourth Proportional to 12,107.34, 16,683.57 and 8,744.22

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Solution

The fourth proportional to 12,107.34, 16,683.57 and 8,744.22 is: 12,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.34 : 16,683.57 = 8,744.22 : x
  2. Step 2: Convert to fraction form
    12,107.34/16,683.57 = 8,744.22/x
  3. Step 3: Cross multiply
    12,107.34x = 16,683.57 × 8,744.22
  4. Step 4: Simplify right side
    12,107.34x = 145,884,806.47
  5. Step 5: Solve for x
    x = 145,884,806.47/12,107.34
  6. Step 6: Final answer
    x = 12,049.29

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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.