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Finding the Fourth Proportional to 20,173.94, 27,838.54 and 11,221.82

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Solution

The fourth proportional to 20,173.94, 27,838.54 and 11,221.82 is: 15,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.94 : 27,838.54 = 11,221.82 : x
  2. Step 2: Convert to fraction form
    20,173.94/27,838.54 = 11,221.82/x
  3. Step 3: Cross multiply
    20,173.94x = 27,838.54 × 11,221.82
  4. Step 4: Simplify right side
    20,173.94x = 312,399,084.94
  5. Step 5: Solve for x
    x = 312,399,084.94/20,173.94
  6. Step 6: Final answer
    x = 15,485.28

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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.