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Finding the Fourth Proportional to 12,202.94, 18,311.97 and 4,806.11

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Solution

The fourth proportional to 12,202.94, 18,311.97 and 4,806.11 is: 7,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.94 : 18,311.97 = 4,806.11 : x
  2. Step 2: Convert to fraction form
    12,202.94/18,311.97 = 4,806.11/x
  3. Step 3: Cross multiply
    12,202.94x = 18,311.97 × 4,806.11
  4. Step 4: Simplify right side
    12,202.94x = 88,009,342.14
  5. Step 5: Solve for x
    x = 88,009,342.14/12,202.94
  6. Step 6: Final answer
    x = 7,212.14

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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.