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Finding the Fourth Proportional to 11,933.76, 17,865 and 9,843.96

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Solution

The fourth proportional to 11,933.76, 17,865 and 9,843.96 is: 14,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.76 : 17,865 = 9,843.96 : x
  2. Step 2: Convert to fraction form
    11,933.76/17,865 = 9,843.96/x
  3. Step 3: Cross multiply
    11,933.76x = 17,865 × 9,843.96
  4. Step 4: Simplify right side
    11,933.76x = 175,862,345.40
  5. Step 5: Solve for x
    x = 175,862,345.40/11,933.76
  6. Step 6: Final answer
    x = 14,736.54

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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.