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Finding the Fourth Proportional to 23,896.65, 35,843.82 and 9,856.46

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Solution

The fourth proportional to 23,896.65, 35,843.82 and 9,856.46 is: 14,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.65 : 35,843.82 = 9,856.46 : x
  2. Step 2: Convert to fraction form
    23,896.65/35,843.82 = 9,856.46/x
  3. Step 3: Cross multiply
    23,896.65x = 35,843.82 × 9,856.46
  4. Step 4: Simplify right side
    23,896.65x = 353,292,998.86
  5. Step 5: Solve for x
    x = 353,292,998.86/23,896.65
  6. Step 6: Final answer
    x = 14,784.21

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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.