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Finding the Fourth Proportional to 12,767.60, 19,149.86 and 3,408.32

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Solution

The fourth proportional to 12,767.60, 19,149.86 and 3,408.32 is: 5,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.60 : 19,149.86 = 3,408.32 : x
  2. Step 2: Convert to fraction form
    12,767.60/19,149.86 = 3,408.32/x
  3. Step 3: Cross multiply
    12,767.60x = 19,149.86 × 3,408.32
  4. Step 4: Simplify right side
    12,767.60x = 65,268,850.84
  5. Step 5: Solve for x
    x = 65,268,850.84/12,767.60
  6. Step 6: Final answer
    x = 5,112.07

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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.