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Finding the Fourth Proportional to 16,286.82, 24,434.21 and 5,193.51

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Solution

The fourth proportional to 16,286.82, 24,434.21 and 5,193.51 is: 7,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.82 : 24,434.21 = 5,193.51 : x
  2. Step 2: Convert to fraction form
    16,286.82/24,434.21 = 5,193.51/x
  3. Step 3: Cross multiply
    16,286.82x = 24,434.21 × 5,193.51
  4. Step 4: Simplify right side
    16,286.82x = 126,899,307.49
  5. Step 5: Solve for x
    x = 126,899,307.49/16,286.82
  6. Step 6: Final answer
    x = 7,791.53

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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.