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Finding the Fourth Proportional to 30,282.80, 41,790.33 and 16,853.40

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Solution

The fourth proportional to 30,282.80, 41,790.33 and 16,853.40 is: 23,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.80 : 41,790.33 = 16,853.40 : x
  2. Step 2: Convert to fraction form
    30,282.80/41,790.33 = 16,853.40/x
  3. Step 3: Cross multiply
    30,282.80x = 41,790.33 × 16,853.40
  4. Step 4: Simplify right side
    30,282.80x = 704,309,147.62
  5. Step 5: Solve for x
    x = 704,309,147.62/30,282.80
  6. Step 6: Final answer
    x = 23,257.73

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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.