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Finding the Fourth Proportional to 19,589.40, 29,388.96 and 9,189

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Solution

The fourth proportional to 19,589.40, 29,388.96 and 9,189 is: 13,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.40 : 29,388.96 = 9,189 : x
  2. Step 2: Convert to fraction form
    19,589.40/29,388.96 = 9,189/x
  3. Step 3: Cross multiply
    19,589.40x = 29,388.96 × 9,189
  4. Step 4: Simplify right side
    19,589.40x = 270,055,153.44
  5. Step 5: Solve for x
    x = 270,055,153.44/19,589.40
  6. Step 6: Final answer
    x = 13,785.78

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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.