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Finding the Fourth Proportional to 13,706.21, 20,438.97 and 13,581.47

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Solution

The fourth proportional to 13,706.21, 20,438.97 and 13,581.47 is: 20,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.21 : 20,438.97 = 13,581.47 : x
  2. Step 2: Convert to fraction form
    13,706.21/20,438.97 = 13,581.47/x
  3. Step 3: Cross multiply
    13,706.21x = 20,438.97 × 13,581.47
  4. Step 4: Simplify right side
    13,706.21x = 277,591,155.69
  5. Step 5: Solve for x
    x = 277,591,155.69/13,706.21
  6. Step 6: Final answer
    x = 20,252.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.