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Finding the Fourth Proportional to 13,499.70, 20,239.94 and 5,172.68

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Solution

The fourth proportional to 13,499.70, 20,239.94 and 5,172.68 is: 7,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.70 : 20,239.94 = 5,172.68 : x
  2. Step 2: Convert to fraction form
    13,499.70/20,239.94 = 5,172.68/x
  3. Step 3: Cross multiply
    13,499.70x = 20,239.94 × 5,172.68
  4. Step 4: Simplify right side
    13,499.70x = 104,694,644.57
  5. Step 5: Solve for x
    x = 104,694,644.57/13,499.70
  6. Step 6: Final answer
    x = 7,755.33

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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.