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Finding the Fourth Proportional to 30,997.84, 42,777.46 and 16,850.68

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Solution

The fourth proportional to 30,997.84, 42,777.46 and 16,850.68 is: 23,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.84 : 42,777.46 = 16,850.68 : x
  2. Step 2: Convert to fraction form
    30,997.84/42,777.46 = 16,850.68/x
  3. Step 3: Cross multiply
    30,997.84x = 42,777.46 × 16,850.68
  4. Step 4: Simplify right side
    30,997.84x = 720,829,289.67
  5. Step 5: Solve for x
    x = 720,829,289.67/30,997.84
  6. Step 6: Final answer
    x = 23,254.18

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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.