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Finding the Fourth Proportional to 23,824.67, 35,731.22 and 8,025.62

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Solution

The fourth proportional to 23,824.67, 35,731.22 and 8,025.62 is: 12,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.67 : 35,731.22 = 8,025.62 : x
  2. Step 2: Convert to fraction form
    23,824.67/35,731.22 = 8,025.62/x
  3. Step 3: Cross multiply
    23,824.67x = 35,731.22 × 8,025.62
  4. Step 4: Simplify right side
    23,824.67x = 286,765,243.06
  5. Step 5: Solve for x
    x = 286,765,243.06/23,824.67
  6. Step 6: Final answer
    x = 12,036.48

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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.