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Finding the Fourth Proportional to 30,997.86, 42,777.33 and 16,850.82

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Solution

The fourth proportional to 30,997.86, 42,777.33 and 16,850.82 is: 23,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.86 : 42,777.33 = 16,850.82 : x
  2. Step 2: Convert to fraction form
    30,997.86/42,777.33 = 16,850.82/x
  3. Step 3: Cross multiply
    30,997.86x = 42,777.33 × 16,850.82
  4. Step 4: Simplify right side
    30,997.86x = 720,833,087.91
  5. Step 5: Solve for x
    x = 720,833,087.91/30,997.86
  6. Step 6: Final answer
    x = 23,254.29

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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.