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Finding the Fourth Proportional to 12,467.60, 18,704.16 and 4,150.40

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Solution

The fourth proportional to 12,467.60, 18,704.16 and 4,150.40 is: 6,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.60 : 18,704.16 = 4,150.40 : x
  2. Step 2: Convert to fraction form
    12,467.60/18,704.16 = 4,150.40/x
  3. Step 3: Cross multiply
    12,467.60x = 18,704.16 × 4,150.40
  4. Step 4: Simplify right side
    12,467.60x = 77,629,745.66
  5. Step 5: Solve for x
    x = 77,629,745.66/12,467.60
  6. Step 6: Final answer
    x = 6,226.52

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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.