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Finding the Fourth Proportional to 13,704.78, 18,912.63 and 7,417.20

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Solution

The fourth proportional to 13,704.78, 18,912.63 and 7,417.20 is: 10,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.78 : 18,912.63 = 7,417.20 : x
  2. Step 2: Convert to fraction form
    13,704.78/18,912.63 = 7,417.20/x
  3. Step 3: Cross multiply
    13,704.78x = 18,912.63 × 7,417.20
  4. Step 4: Simplify right side
    13,704.78x = 140,278,759.24
  5. Step 5: Solve for x
    x = 140,278,759.24/13,704.78
  6. Step 6: Final answer
    x = 10,235.75

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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.