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Finding the Fourth Proportional to 12,767.58, 19,149.84 and 3,408.30

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Solution

The fourth proportional to 12,767.58, 19,149.84 and 3,408.30 is: 5,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.58 : 19,149.84 = 3,408.30 : x
  2. Step 2: Convert to fraction form
    12,767.58/19,149.84 = 3,408.30/x
  3. Step 3: Cross multiply
    12,767.58x = 19,149.84 × 3,408.30
  4. Step 4: Simplify right side
    12,767.58x = 65,268,399.67
  5. Step 5: Solve for x
    x = 65,268,399.67/12,767.58
  6. Step 6: Final answer
    x = 5,112.04

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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.