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Finding the Fourth Proportional to 13,273.89, 19,923.14 and 6,704.69

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Solution

The fourth proportional to 13,273.89, 19,923.14 and 6,704.69 is: 10,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273.89 : 19,923.14 = 6,704.69 : x
  2. Step 2: Convert to fraction form
    13,273.89/19,923.14 = 6,704.69/x
  3. Step 3: Cross multiply
    13,273.89x = 19,923.14 × 6,704.69
  4. Step 4: Simplify right side
    13,273.89x = 133,578,344.39
  5. Step 5: Solve for x
    x = 133,578,344.39/13,273.89
  6. Step 6: Final answer
    x = 10,063.24

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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.