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Finding the Fourth Proportional to 13,872.53, 20,806.70 and 5,105.49

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Solution

The fourth proportional to 13,872.53, 20,806.70 and 5,105.49 is: 7,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.53 : 20,806.70 = 5,105.49 : x
  2. Step 2: Convert to fraction form
    13,872.53/20,806.70 = 5,105.49/x
  3. Step 3: Cross multiply
    13,872.53x = 20,806.70 × 5,105.49
  4. Step 4: Simplify right side
    13,872.53x = 106,228,373.26
  5. Step 5: Solve for x
    x = 106,228,373.26/13,872.53
  6. Step 6: Final answer
    x = 7,657.46

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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.