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Finding the Fourth Proportional to 12,467.22, 18,704.46 and 4,676.64

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Solution

The fourth proportional to 12,467.22, 18,704.46 and 4,676.64 is: 7,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.22 : 18,704.46 = 4,676.64 : x
  2. Step 2: Convert to fraction form
    12,467.22/18,704.46 = 4,676.64/x
  3. Step 3: Cross multiply
    12,467.22x = 18,704.46 × 4,676.64
  4. Step 4: Simplify right side
    12,467.22x = 87,474,025.81
  5. Step 5: Solve for x
    x = 87,474,025.81/12,467.22
  6. Step 6: Final answer
    x = 7,016.32

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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.