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Finding the Fourth Proportional to 19,589.40, 29,388.53 and 6,441.89

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Solution

The fourth proportional to 19,589.40, 29,388.53 and 6,441.89 is: 9,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.40 : 29,388.53 = 6,441.89 : x
  2. Step 2: Convert to fraction form
    19,589.40/29,388.53 = 6,441.89/x
  3. Step 3: Cross multiply
    19,589.40x = 29,388.53 × 6,441.89
  4. Step 4: Simplify right side
    19,589.40x = 189,317,546.68
  5. Step 5: Solve for x
    x = 189,317,546.68/19,589.40
  6. Step 6: Final answer
    x = 9,664.29

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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.