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Finding the Fourth Proportional to 23,894.93, 35,846.70 and 9,847.28

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Solution

The fourth proportional to 23,894.93, 35,846.70 and 9,847.28 is: 14,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.93 : 35,846.70 = 9,847.28 : x
  2. Step 2: Convert to fraction form
    23,894.93/35,846.70 = 9,847.28/x
  3. Step 3: Cross multiply
    23,894.93x = 35,846.70 × 9,847.28
  4. Step 4: Simplify right side
    23,894.93x = 352,992,491.98
  5. Step 5: Solve for x
    x = 352,992,491.98/23,894.93
  6. Step 6: Final answer
    x = 14,772.69

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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.