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Finding the Fourth Proportional to 12,311.40, 18,468.14 and 3,546.44

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Solution

The fourth proportional to 12,311.40, 18,468.14 and 3,546.44 is: 5,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.40 : 18,468.14 = 3,546.44 : x
  2. Step 2: Convert to fraction form
    12,311.40/18,468.14 = 3,546.44/x
  3. Step 3: Cross multiply
    12,311.40x = 18,468.14 × 3,546.44
  4. Step 4: Simplify right side
    12,311.40x = 65,496,150.42
  5. Step 5: Solve for x
    x = 65,496,150.42/12,311.40
  6. Step 6: Final answer
    x = 5,319.96

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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.