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Finding the Fourth Proportional to 13,704.80, 18,912.69 and 7,417.17

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Solution

The fourth proportional to 13,704.80, 18,912.69 and 7,417.17 is: 10,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.80 : 18,912.69 = 7,417.17 : x
  2. Step 2: Convert to fraction form
    13,704.80/18,912.69 = 7,417.17/x
  3. Step 3: Cross multiply
    13,704.80x = 18,912.69 × 7,417.17
  4. Step 4: Simplify right side
    13,704.80x = 140,278,636.89
  5. Step 5: Solve for x
    x = 140,278,636.89/13,704.80
  6. Step 6: Final answer
    x = 10,235.73

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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.