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Finding the Fourth Proportional to 23,647.14, 35,463.42 and 8,651.34

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Solution

The fourth proportional to 23,647.14, 35,463.42 and 8,651.34 is: 12,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.14 : 35,463.42 = 8,651.34 : x
  2. Step 2: Convert to fraction form
    23,647.14/35,463.42 = 8,651.34/x
  3. Step 3: Cross multiply
    23,647.14x = 35,463.42 × 8,651.34
  4. Step 4: Simplify right side
    23,647.14x = 306,806,103.98
  5. Step 5: Solve for x
    x = 306,806,103.98/23,647.14
  6. Step 6: Final answer
    x = 12,974.34

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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.