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Finding the Fourth Proportional to 20,440.36, 30,659.82 and 6,589

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Solution

The fourth proportional to 20,440.36, 30,659.82 and 6,589 is: 9,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440.36 : 30,659.82 = 6,589 : x
  2. Step 2: Convert to fraction form
    20,440.36/30,659.82 = 6,589/x
  3. Step 3: Cross multiply
    20,440.36x = 30,659.82 × 6,589
  4. Step 4: Simplify right side
    20,440.36x = 202,017,553.98
  5. Step 5: Solve for x
    x = 202,017,553.98/20,440.36
  6. Step 6: Final answer
    x = 9,883.27

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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.