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Finding the Fourth Proportional to 13,704.73, 18,911.61 and 7,735.23

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Solution

The fourth proportional to 13,704.73, 18,911.61 and 7,735.23 is: 10,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.73 : 18,911.61 = 7,735.23 : x
  2. Step 2: Convert to fraction form
    13,704.73/18,911.61 = 7,735.23/x
  3. Step 3: Cross multiply
    13,704.73x = 18,911.61 × 7,735.23
  4. Step 4: Simplify right side
    13,704.73x = 146,285,653.02
  5. Step 5: Solve for x
    x = 146,285,653.02/13,704.73
  6. Step 6: Final answer
    x = 10,674.10

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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.