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Finding the Fourth Proportional to 12,348.72, 18,524.43 and 3,464.64

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Solution

The fourth proportional to 12,348.72, 18,524.43 and 3,464.64 is: 5,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.72 : 18,524.43 = 3,464.64 : x
  2. Step 2: Convert to fraction form
    12,348.72/18,524.43 = 3,464.64/x
  3. Step 3: Cross multiply
    12,348.72x = 18,524.43 × 3,464.64
  4. Step 4: Simplify right side
    12,348.72x = 64,180,481.16
  5. Step 5: Solve for x
    x = 64,180,481.16/12,348.72
  6. Step 6: Final answer
    x = 5,197.34

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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.