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Finding the Fourth Proportional to 12,102.88, 18,149.97 and 4,310.14

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Solution

The fourth proportional to 12,102.88, 18,149.97 and 4,310.14 is: 6,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.88 : 18,149.97 = 4,310.14 : x
  2. Step 2: Convert to fraction form
    12,102.88/18,149.97 = 4,310.14/x
  3. Step 3: Cross multiply
    12,102.88x = 18,149.97 × 4,310.14
  4. Step 4: Simplify right side
    12,102.88x = 78,228,911.70
  5. Step 5: Solve for x
    x = 78,228,911.70/12,102.88
  6. Step 6: Final answer
    x = 6,463.66

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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.