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Finding the Fourth Proportional to 12,408.31, 18,613.68 and 3,644.52

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Solution

The fourth proportional to 12,408.31, 18,613.68 and 3,644.52 is: 5,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.31 : 18,613.68 = 3,644.52 : x
  2. Step 2: Convert to fraction form
    12,408.31/18,613.68 = 3,644.52/x
  3. Step 3: Cross multiply
    12,408.31x = 18,613.68 × 3,644.52
  4. Step 4: Simplify right side
    12,408.31x = 67,837,929.03
  5. Step 5: Solve for x
    x = 67,837,929.03/12,408.31
  6. Step 6: Final answer
    x = 5,467.14

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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.