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Finding the Fourth Proportional to 13,827.26, 20,727.93 and 6,894.14

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Solution

The fourth proportional to 13,827.26, 20,727.93 and 6,894.14 is: 10,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.26 : 20,727.93 = 6,894.14 : x
  2. Step 2: Convert to fraction form
    13,827.26/20,727.93 = 6,894.14/x
  3. Step 3: Cross multiply
    13,827.26x = 20,727.93 × 6,894.14
  4. Step 4: Simplify right side
    13,827.26x = 142,901,251.33
  5. Step 5: Solve for x
    x = 142,901,251.33/13,827.26
  6. Step 6: Final answer
    x = 10,334.75

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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.