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Finding the Fourth Proportional to 12,196.84, 18,301.41 and 4,806.60

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Solution

The fourth proportional to 12,196.84, 18,301.41 and 4,806.60 is: 7,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.84 : 18,301.41 = 4,806.60 : x
  2. Step 2: Convert to fraction form
    12,196.84/18,301.41 = 4,806.60/x
  3. Step 3: Cross multiply
    12,196.84x = 18,301.41 × 4,806.60
  4. Step 4: Simplify right side
    12,196.84x = 87,967,625.94
  5. Step 5: Solve for x
    x = 87,967,625.94/12,196.84
  6. Step 6: Final answer
    x = 7,212.33

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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.