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Finding the Fourth Proportional to 22,654.95, 33,954.66 and 10,171.77

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Solution

The fourth proportional to 22,654.95, 33,954.66 and 10,171.77 is: 15,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.95 : 33,954.66 = 10,171.77 : x
  2. Step 2: Convert to fraction form
    22,654.95/33,954.66 = 10,171.77/x
  3. Step 3: Cross multiply
    22,654.95x = 33,954.66 × 10,171.77
  4. Step 4: Simplify right side
    22,654.95x = 345,378,991.95
  5. Step 5: Solve for x
    x = 345,378,991.95/22,654.95
  6. Step 6: Final answer
    x = 15,245.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.