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Finding the Fourth Proportional to 30,997.84, 42,777.04 and 16,850.69

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Solution

The fourth proportional to 30,997.84, 42,777.04 and 16,850.69 is: 23,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.84 : 42,777.04 = 16,850.69 : x
  2. Step 2: Convert to fraction form
    30,997.84/42,777.04 = 16,850.69/x
  3. Step 3: Cross multiply
    30,997.84x = 42,777.04 × 16,850.69
  4. Step 4: Simplify right side
    30,997.84x = 720,822,640.16
  5. Step 5: Solve for x
    x = 720,822,640.16/30,997.84
  6. Step 6: Final answer
    x = 23,253.96

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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.