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Finding the Fourth Proportional to 13,806.41, 20,706.71 and 4,447.26

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Solution

The fourth proportional to 13,806.41, 20,706.71 and 4,447.26 is: 6,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.41 : 20,706.71 = 4,447.26 : x
  2. Step 2: Convert to fraction form
    13,806.41/20,706.71 = 4,447.26/x
  3. Step 3: Cross multiply
    13,806.41x = 20,706.71 × 4,447.26
  4. Step 4: Simplify right side
    13,806.41x = 92,088,100.88
  5. Step 5: Solve for x
    x = 92,088,100.88/13,806.41
  6. Step 6: Final answer
    x = 6,669.96

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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.