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Finding the Fourth Proportional to 13,704.73, 18,913.41 and 7,734.22

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Solution

The fourth proportional to 13,704.73, 18,913.41 and 7,734.22 is: 10,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.73 : 18,913.41 = 7,734.22 : x
  2. Step 2: Convert to fraction form
    13,704.73/18,913.41 = 7,734.22/x
  3. Step 3: Cross multiply
    13,704.73x = 18,913.41 × 7,734.22
  4. Step 4: Simplify right side
    13,704.73x = 146,280,426.61
  5. Step 5: Solve for x
    x = 146,280,426.61/13,704.73
  6. Step 6: Final answer
    x = 10,673.72

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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.