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Finding the Fourth Proportional to 21,164.22, 29,194.83 and 19,662.48

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Solution

The fourth proportional to 21,164.22, 29,194.83 and 19,662.48 is: 27,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.22 : 29,194.83 = 19,662.48 : x
  2. Step 2: Convert to fraction form
    21,164.22/29,194.83 = 19,662.48/x
  3. Step 3: Cross multiply
    21,164.22x = 29,194.83 × 19,662.48
  4. Step 4: Simplify right side
    21,164.22x = 574,042,760.98
  5. Step 5: Solve for x
    x = 574,042,760.98/21,164.22
  6. Step 6: Final answer
    x = 27,123.27

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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.