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Finding the Fourth Proportional to 23,856, 35,797.02 and 11,544

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Solution

The fourth proportional to 23,856, 35,797.02 and 11,544 is: 17,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856 : 35,797.02 = 11,544 : x
  2. Step 2: Convert to fraction form
    23,856/35,797.02 = 11,544/x
  3. Step 3: Cross multiply
    23,856x = 35,797.02 × 11,544
  4. Step 4: Simplify right side
    23,856x = 413,240,798.88
  5. Step 5: Solve for x
    x = 413,240,798.88/23,856
  6. Step 6: Final answer
    x = 17,322.30

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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.