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Finding the Fourth Proportional to 12,408.75, 18,613.22 and 3,643.80

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Solution

The fourth proportional to 12,408.75, 18,613.22 and 3,643.80 is: 5,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.75 : 18,613.22 = 3,643.80 : x
  2. Step 2: Convert to fraction form
    12,408.75/18,613.22 = 3,643.80/x
  3. Step 3: Cross multiply
    12,408.75x = 18,613.22 × 3,643.80
  4. Step 4: Simplify right side
    12,408.75x = 67,822,832.82
  5. Step 5: Solve for x
    x = 67,822,832.82/12,408.75
  6. Step 6: Final answer
    x = 5,465.73

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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.