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Finding the Fourth Proportional to 23,744.12, 35,618.22 and 6,213.94

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Solution

The fourth proportional to 23,744.12, 35,618.22 and 6,213.94 is: 9,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.12 : 35,618.22 = 6,213.94 : x
  2. Step 2: Convert to fraction form
    23,744.12/35,618.22 = 6,213.94/x
  3. Step 3: Cross multiply
    23,744.12x = 35,618.22 × 6,213.94
  4. Step 4: Simplify right side
    23,744.12x = 221,329,392.94
  5. Step 5: Solve for x
    x = 221,329,392.94/23,744.12
  6. Step 6: Final answer
    x = 9,321.44

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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.