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Finding the Fourth Proportional to 30,338.82, 41,855.54 and 18,397.80

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Solution

The fourth proportional to 30,338.82, 41,855.54 and 18,397.80 is: 25,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.82 : 41,855.54 = 18,397.80 : x
  2. Step 2: Convert to fraction form
    30,338.82/41,855.54 = 18,397.80/x
  3. Step 3: Cross multiply
    30,338.82x = 41,855.54 × 18,397.80
  4. Step 4: Simplify right side
    30,338.82x = 770,049,761.82
  5. Step 5: Solve for x
    x = 770,049,761.82/30,338.82
  6. Step 6: Final answer
    x = 25,381.66

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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.