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Finding the Fourth Proportional to 30,286.92, 41,796.40 and 16,858.76

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Solution

The fourth proportional to 30,286.92, 41,796.40 and 16,858.76 is: 23,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.92 : 41,796.40 = 16,858.76 : x
  2. Step 2: Convert to fraction form
    30,286.92/41,796.40 = 16,858.76/x
  3. Step 3: Cross multiply
    30,286.92x = 41,796.40 × 16,858.76
  4. Step 4: Simplify right side
    30,286.92x = 704,635,476.46
  5. Step 5: Solve for x
    x = 704,635,476.46/30,286.92
  6. Step 6: Final answer
    x = 23,265.34

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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.