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Finding the Fourth Proportional to 13,493.46, 20,239.41 and 5,173.14

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Solution

The fourth proportional to 13,493.46, 20,239.41 and 5,173.14 is: 7,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.46 : 20,239.41 = 5,173.14 : x
  2. Step 2: Convert to fraction form
    13,493.46/20,239.41 = 5,173.14/x
  3. Step 3: Cross multiply
    13,493.46x = 20,239.41 × 5,173.14
  4. Step 4: Simplify right side
    13,493.46x = 104,701,301.45
  5. Step 5: Solve for x
    x = 104,701,301.45/13,493.46
  6. Step 6: Final answer
    x = 7,759.41

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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.