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Finding the Fourth Proportional to 30,286.80, 41,795.48 and 16,857.84

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Solution

The fourth proportional to 30,286.80, 41,795.48 and 16,857.84 is: 23,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.80 : 41,795.48 = 16,857.84 : x
  2. Step 2: Convert to fraction form
    30,286.80/41,795.48 = 16,857.84/x
  3. Step 3: Cross multiply
    30,286.80x = 41,795.48 × 16,857.84
  4. Step 4: Simplify right side
    30,286.80x = 704,581,514.56
  5. Step 5: Solve for x
    x = 704,581,514.56/30,286.80
  6. Step 6: Final answer
    x = 23,263.65

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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.