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Finding the Fourth Proportional to 12,523.80, 18,761.94 and 6,683.16

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Solution

The fourth proportional to 12,523.80, 18,761.94 and 6,683.16 is: 10,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.80 : 18,761.94 = 6,683.16 : x
  2. Step 2: Convert to fraction form
    12,523.80/18,761.94 = 6,683.16/x
  3. Step 3: Cross multiply
    12,523.80x = 18,761.94 × 6,683.16
  4. Step 4: Simplify right side
    12,523.80x = 125,389,046.93
  5. Step 5: Solve for x
    x = 125,389,046.93/12,523.80
  6. Step 6: Final answer
    x = 10,012.06

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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.