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Finding the Fourth Proportional to 23,894.84, 35,843.34 and 8,313.68

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Solution

The fourth proportional to 23,894.84, 35,843.34 and 8,313.68 is: 12,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.84 : 35,843.34 = 8,313.68 : x
  2. Step 2: Convert to fraction form
    23,894.84/35,843.34 = 8,313.68/x
  3. Step 3: Cross multiply
    23,894.84x = 35,843.34 × 8,313.68
  4. Step 4: Simplify right side
    23,894.84x = 297,990,058.89
  5. Step 5: Solve for x
    x = 297,990,058.89/23,894.84
  6. Step 6: Final answer
    x = 12,470.90

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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.