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Finding the Fourth Proportional to 12,344.25, 18,522.72 and 6,801.96

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Solution

The fourth proportional to 12,344.25, 18,522.72 and 6,801.96 is: 10,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.25 : 18,522.72 = 6,801.96 : x
  2. Step 2: Convert to fraction form
    12,344.25/18,522.72 = 6,801.96/x
  3. Step 3: Cross multiply
    12,344.25x = 18,522.72 × 6,801.96
  4. Step 4: Simplify right side
    12,344.25x = 125,990,800.53
  5. Step 5: Solve for x
    x = 125,990,800.53/12,344.25
  6. Step 6: Final answer
    x = 10,206.44

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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.