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Finding the Fourth Proportional to 23,906.76, 35,876.47 and 8,324.38

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Solution

The fourth proportional to 23,906.76, 35,876.47 and 8,324.38 is: 12,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.76 : 35,876.47 = 8,324.38 : x
  2. Step 2: Convert to fraction form
    23,906.76/35,876.47 = 8,324.38/x
  3. Step 3: Cross multiply
    23,906.76x = 35,876.47 × 8,324.38
  4. Step 4: Simplify right side
    23,906.76x = 298,649,369.34
  5. Step 5: Solve for x
    x = 298,649,369.34/23,906.76
  6. Step 6: Final answer
    x = 12,492.26

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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.