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Finding the Fourth Proportional to 18,209.26, 27,314.57 and 6,522.46

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Solution

The fourth proportional to 18,209.26, 27,314.57 and 6,522.46 is: 9,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.26 : 27,314.57 = 6,522.46 : x
  2. Step 2: Convert to fraction form
    18,209.26/27,314.57 = 6,522.46/x
  3. Step 3: Cross multiply
    18,209.26x = 27,314.57 × 6,522.46
  4. Step 4: Simplify right side
    18,209.26x = 178,158,190.24
  5. Step 5: Solve for x
    x = 178,158,190.24/18,209.26
  6. Step 6: Final answer
    x = 9,783.93

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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.