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Finding the Fourth Proportional to 13,685.43, 20,517.21 and 7,846.14

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Solution

The fourth proportional to 13,685.43, 20,517.21 and 7,846.14 is: 11,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.43 : 20,517.21 = 7,846.14 : x
  2. Step 2: Convert to fraction form
    13,685.43/20,517.21 = 7,846.14/x
  3. Step 3: Cross multiply
    13,685.43x = 20,517.21 × 7,846.14
  4. Step 4: Simplify right side
    13,685.43x = 160,980,902.07
  5. Step 5: Solve for x
    x = 160,980,902.07/13,685.43
  6. Step 6: Final answer
    x = 11,762.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.