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Finding the Fourth Proportional to 23,894.73, 35,811.05 and 9,838.80

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Solution

The fourth proportional to 23,894.73, 35,811.05 and 9,838.80 is: 14,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.73 : 35,811.05 = 9,838.80 : x
  2. Step 2: Convert to fraction form
    23,894.73/35,811.05 = 9,838.80/x
  3. Step 3: Cross multiply
    23,894.73x = 35,811.05 × 9,838.80
  4. Step 4: Simplify right side
    23,894.73x = 352,337,709.55
  5. Step 5: Solve for x
    x = 352,337,709.55/23,894.73
  6. Step 6: Final answer
    x = 14,745.41

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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.