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Finding the Fourth Proportional to 23,874.84, 35,812.26 and 6,344.22

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Solution

The fourth proportional to 23,874.84, 35,812.26 and 6,344.22 is: 9,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.84 : 35,812.26 = 6,344.22 : x
  2. Step 2: Convert to fraction form
    23,874.84/35,812.26 = 6,344.22/x
  3. Step 3: Cross multiply
    23,874.84x = 35,812.26 × 6,344.22
  4. Step 4: Simplify right side
    23,874.84x = 227,200,856.14
  5. Step 5: Solve for x
    x = 227,200,856.14/23,874.84
  6. Step 6: Final answer
    x = 9,516.33

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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.