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Finding the Fourth Proportional to 15,204.79, 22,806.67 and 6,884.80

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Solution

The fourth proportional to 15,204.79, 22,806.67 and 6,884.80 is: 10,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.79 : 22,806.67 = 6,884.80 : x
  2. Step 2: Convert to fraction form
    15,204.79/22,806.67 = 6,884.80/x
  3. Step 3: Cross multiply
    15,204.79x = 22,806.67 × 6,884.80
  4. Step 4: Simplify right side
    15,204.79x = 157,019,361.62
  5. Step 5: Solve for x
    x = 157,019,361.62/15,204.79
  6. Step 6: Final answer
    x = 10,326.97

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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.