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Finding the Fourth Proportional to 30,204.63, 41,684.25 and 16,775.97

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Solution

The fourth proportional to 30,204.63, 41,684.25 and 16,775.97 is: 23,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.63 : 41,684.25 = 16,775.97 : x
  2. Step 2: Convert to fraction form
    30,204.63/41,684.25 = 16,775.97/x
  3. Step 3: Cross multiply
    30,204.63x = 41,684.25 × 16,775.97
  4. Step 4: Simplify right side
    30,204.63x = 699,293,727.47
  5. Step 5: Solve for x
    x = 699,293,727.47/30,204.63
  6. Step 6: Final answer
    x = 23,151.87

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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.