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Finding the Fourth Proportional to 30,997.69, 42,777.11 and 16,850.84

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Solution

The fourth proportional to 30,997.69, 42,777.11 and 16,850.84 is: 23,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.69 : 42,777.11 = 16,850.84 : x
  2. Step 2: Convert to fraction form
    30,997.69/42,777.11 = 16,850.84/x
  3. Step 3: Cross multiply
    30,997.69x = 42,777.11 × 16,850.84
  4. Step 4: Simplify right side
    30,997.69x = 720,830,064.51
  5. Step 5: Solve for x
    x = 720,830,064.51/30,997.69
  6. Step 6: Final answer
    x = 23,254.32

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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.