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Finding the Fourth Proportional to 20,199.75, 27,877.82 and 11,823.27

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Solution

The fourth proportional to 20,199.75, 27,877.82 and 11,823.27 is: 16,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.75 : 27,877.82 = 11,823.27 : x
  2. Step 2: Convert to fraction form
    20,199.75/27,877.82 = 11,823.27/x
  3. Step 3: Cross multiply
    20,199.75x = 27,877.82 × 11,823.27
  4. Step 4: Simplify right side
    20,199.75x = 329,606,933.76
  5. Step 5: Solve for x
    x = 329,606,933.76/20,199.75
  6. Step 6: Final answer
    x = 16,317.38

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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.