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Finding the Fourth Proportional to 13,189.68, 19,782.44 and 6,174.56

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Solution

The fourth proportional to 13,189.68, 19,782.44 and 6,174.56 is: 9,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.68 : 19,782.44 = 6,174.56 : x
  2. Step 2: Convert to fraction form
    13,189.68/19,782.44 = 6,174.56/x
  3. Step 3: Cross multiply
    13,189.68x = 19,782.44 × 6,174.56
  4. Step 4: Simplify right side
    13,189.68x = 122,147,862.73
  5. Step 5: Solve for x
    x = 122,147,862.73/13,189.68
  6. Step 6: Final answer
    x = 9,260.87

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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.