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Finding the Fourth Proportional to 23,894.70, 35,846.38 and 9,846.92

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Solution

The fourth proportional to 23,894.70, 35,846.38 and 9,846.92 is: 14,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.70 : 35,846.38 = 9,846.92 : x
  2. Step 2: Convert to fraction form
    23,894.70/35,846.38 = 9,846.92/x
  3. Step 3: Cross multiply
    23,894.70x = 35,846.38 × 9,846.92
  4. Step 4: Simplify right side
    23,894.70x = 352,976,336.44
  5. Step 5: Solve for x
    x = 352,976,336.44/23,894.70
  6. Step 6: Final answer
    x = 14,772.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.