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Finding the Fourth Proportional to 23,800, 32,844 and 13,864

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Solution

The fourth proportional to 23,800, 32,844 and 13,864 is: 19,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800 : 32,844 = 13,864 : x
  2. Step 2: Convert to fraction form
    23,800/32,844 = 13,864/x
  3. Step 3: Cross multiply
    23,800x = 32,844 × 13,864
  4. Step 4: Simplify right side
    23,800x = 455,349,216
  5. Step 5: Solve for x
    x = 455,349,216/23,800
  6. Step 6: Final answer
    x = 19,132.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.