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Finding the Fourth Proportional to 12,093.01, 18,138.66 and 3,208.15

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Solution

The fourth proportional to 12,093.01, 18,138.66 and 3,208.15 is: 4,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.01 : 18,138.66 = 3,208.15 : x
  2. Step 2: Convert to fraction form
    12,093.01/18,138.66 = 3,208.15/x
  3. Step 3: Cross multiply
    12,093.01x = 18,138.66 × 3,208.15
  4. Step 4: Simplify right side
    12,093.01x = 58,191,510.73
  5. Step 5: Solve for x
    x = 58,191,510.73/12,093.01
  6. Step 6: Final answer
    x = 4,811.99

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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.