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Finding the Fourth Proportional to 20,211, 27,893.07 and 11,827.50

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Solution

The fourth proportional to 20,211, 27,893.07 and 11,827.50 is: 16,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211 : 27,893.07 = 11,827.50 : x
  2. Step 2: Convert to fraction form
    20,211/27,893.07 = 11,827.50/x
  3. Step 3: Cross multiply
    20,211x = 27,893.07 × 11,827.50
  4. Step 4: Simplify right side
    20,211x = 329,905,285.43
  5. Step 5: Solve for x
    x = 329,905,285.43/20,211
  6. Step 6: Final answer
    x = 16,323.06

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