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Finding the Fourth Proportional to 30,286.52, 41,797.38 and 16,857.74

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Solution

The fourth proportional to 30,286.52, 41,797.38 and 16,857.74 is: 23,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.52 : 41,797.38 = 16,857.74 : x
  2. Step 2: Convert to fraction form
    30,286.52/41,797.38 = 16,857.74/x
  3. Step 3: Cross multiply
    30,286.52x = 41,797.38 × 16,857.74
  4. Step 4: Simplify right side
    30,286.52x = 704,609,364.72
  5. Step 5: Solve for x
    x = 704,609,364.72/30,286.52
  6. Step 6: Final answer
    x = 23,264.78

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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.