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Finding the Fourth Proportional to 13,704.26, 18,912.74 and 7,733.76

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Solution

The fourth proportional to 13,704.26, 18,912.74 and 7,733.76 is: 10,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.26 : 18,912.74 = 7,733.76 : x
  2. Step 2: Convert to fraction form
    13,704.26/18,912.74 = 7,733.76/x
  3. Step 3: Cross multiply
    13,704.26x = 18,912.74 × 7,733.76
  4. Step 4: Simplify right side
    13,704.26x = 146,266,592.10
  5. Step 5: Solve for x
    x = 146,266,592.10/13,704.26
  6. Step 6: Final answer
    x = 10,673.07

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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.