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Finding the Fourth Proportional to 30,205.70, 41,682.09 and 16,776.17

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Solution

The fourth proportional to 30,205.70, 41,682.09 and 16,776.17 is: 23,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.70 : 41,682.09 = 16,776.17 : x
  2. Step 2: Convert to fraction form
    30,205.70/41,682.09 = 16,776.17/x
  3. Step 3: Cross multiply
    30,205.70x = 41,682.09 × 16,776.17
  4. Step 4: Simplify right side
    30,205.70x = 699,265,827.80
  5. Step 5: Solve for x
    x = 699,265,827.80/30,205.70
  6. Step 6: Final answer
    x = 23,150.13

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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.