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Finding the Fourth Proportional to 12,311.46, 18,467.19 and 5,742.24

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Solution

The fourth proportional to 12,311.46, 18,467.19 and 5,742.24 is: 8,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.46 : 18,467.19 = 5,742.24 : x
  2. Step 2: Convert to fraction form
    12,311.46/18,467.19 = 5,742.24/x
  3. Step 3: Cross multiply
    12,311.46x = 18,467.19 × 5,742.24
  4. Step 4: Simplify right side
    12,311.46x = 106,043,037.11
  5. Step 5: Solve for x
    x = 106,043,037.11/12,311.46
  6. Step 6: Final answer
    x = 8,613.36

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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.