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Finding the Fourth Proportional to 12,197.09, 18,301.79 and 4,806.86

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Solution

The fourth proportional to 12,197.09, 18,301.79 and 4,806.86 is: 7,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.09 : 18,301.79 = 4,806.86 : x
  2. Step 2: Convert to fraction form
    12,197.09/18,301.79 = 4,806.86/x
  3. Step 3: Cross multiply
    12,197.09x = 18,301.79 × 4,806.86
  4. Step 4: Simplify right side
    12,197.09x = 87,974,026.74
  5. Step 5: Solve for x
    x = 87,974,026.74/12,197.09
  6. Step 6: Final answer
    x = 7,212.71

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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.