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Finding the Fourth Proportional to 23,608.27, 35,416.05 and 8,022.25

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Solution

The fourth proportional to 23,608.27, 35,416.05 and 8,022.25 is: 12,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608.27 : 35,416.05 = 8,022.25 : x
  2. Step 2: Convert to fraction form
    23,608.27/35,416.05 = 8,022.25/x
  3. Step 3: Cross multiply
    23,608.27x = 35,416.05 × 8,022.25
  4. Step 4: Simplify right side
    23,608.27x = 284,116,407.11
  5. Step 5: Solve for x
    x = 284,116,407.11/23,608.27
  6. Step 6: Final answer
    x = 12,034.61

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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.