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Finding the Fourth Proportional to 13,190.67, 19,786.23 and 6,168.69

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Solution

The fourth proportional to 13,190.67, 19,786.23 and 6,168.69 is: 9,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190.67 : 19,786.23 = 6,168.69 : x
  2. Step 2: Convert to fraction form
    13,190.67/19,786.23 = 6,168.69/x
  3. Step 3: Cross multiply
    13,190.67x = 19,786.23 × 6,168.69
  4. Step 4: Simplify right side
    13,190.67x = 122,055,119.14
  5. Step 5: Solve for x
    x = 122,055,119.14/13,190.67
  6. Step 6: Final answer
    x = 9,253.14

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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.