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Finding the Fourth Proportional to 12,166.34, 18,225.83 and 7,993.67

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Solution

The fourth proportional to 12,166.34, 18,225.83 and 7,993.67 is: 11,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.34 : 18,225.83 = 7,993.67 : x
  2. Step 2: Convert to fraction form
    12,166.34/18,225.83 = 7,993.67/x
  3. Step 3: Cross multiply
    12,166.34x = 18,225.83 × 7,993.67
  4. Step 4: Simplify right side
    12,166.34x = 145,691,199.35
  5. Step 5: Solve for x
    x = 145,691,199.35/12,166.34
  6. Step 6: Final answer
    x = 11,974.95

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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.