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Finding the Fourth Proportional to 12,178.89, 16,806.78 and 6,873.66

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Solution

The fourth proportional to 12,178.89, 16,806.78 and 6,873.66 is: 9,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.89 : 16,806.78 = 6,873.66 : x
  2. Step 2: Convert to fraction form
    12,178.89/16,806.78 = 6,873.66/x
  3. Step 3: Cross multiply
    12,178.89x = 16,806.78 × 6,873.66
  4. Step 4: Simplify right side
    12,178.89x = 115,524,091.41
  5. Step 5: Solve for x
    x = 115,524,091.41/12,178.89
  6. Step 6: Final answer
    x = 9,485.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.