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Finding the Fourth Proportional to 13,706.67, 20,558.48 and 3,846.33

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Solution

The fourth proportional to 13,706.67, 20,558.48 and 3,846.33 is: 5,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.67 : 20,558.48 = 3,846.33 : x
  2. Step 2: Convert to fraction form
    13,706.67/20,558.48 = 3,846.33/x
  3. Step 3: Cross multiply
    13,706.67x = 20,558.48 × 3,846.33
  4. Step 4: Simplify right side
    13,706.67x = 79,074,679.15
  5. Step 5: Solve for x
    x = 79,074,679.15/13,706.67
  6. Step 6: Final answer
    x = 5,769.07

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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.