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Finding the Fourth Proportional to 12,104.84, 18,157.26 and 4,311.83

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Solution

The fourth proportional to 12,104.84, 18,157.26 and 4,311.83 is: 6,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.84 : 18,157.26 = 4,311.83 : x
  2. Step 2: Convert to fraction form
    12,104.84/18,157.26 = 4,311.83/x
  3. Step 3: Cross multiply
    12,104.84x = 18,157.26 × 4,311.83
  4. Step 4: Simplify right side
    12,104.84x = 78,291,079.95
  5. Step 5: Solve for x
    x = 78,291,079.95/12,104.84
  6. Step 6: Final answer
    x = 6,467.75

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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.