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Finding the Fourth Proportional to 13,704.57, 18,912.33 and 7,416.95

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Solution

The fourth proportional to 13,704.57, 18,912.33 and 7,416.95 is: 10,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.57 : 18,912.33 = 7,416.95 : x
  2. Step 2: Convert to fraction form
    13,704.57/18,912.33 = 7,416.95/x
  3. Step 3: Cross multiply
    13,704.57x = 18,912.33 × 7,416.95
  4. Step 4: Simplify right side
    13,704.57x = 140,271,711.43
  5. Step 5: Solve for x
    x = 140,271,711.43/13,704.57
  6. Step 6: Final answer
    x = 10,235.40

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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.