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Finding the Fourth Proportional to 23,992.14, 36,004.20 and 8,409.78

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Solution

The fourth proportional to 23,992.14, 36,004.20 and 8,409.78 is: 12,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992.14 : 36,004.20 = 8,409.78 : x
  2. Step 2: Convert to fraction form
    23,992.14/36,004.20 = 8,409.78/x
  3. Step 3: Cross multiply
    23,992.14x = 36,004.20 × 8,409.78
  4. Step 4: Simplify right side
    23,992.14x = 302,787,401.08
  5. Step 5: Solve for x
    x = 302,787,401.08/23,992.14
  6. Step 6: Final answer
    x = 12,620.27

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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.