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Finding the Fourth Proportional to 29,871, 41,222.94 and 16,441.56

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Solution

The fourth proportional to 29,871, 41,222.94 and 16,441.56 is: 22,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871 : 41,222.94 = 16,441.56 : x
  2. Step 2: Convert to fraction form
    29,871/41,222.94 = 16,441.56/x
  3. Step 3: Cross multiply
    29,871x = 41,222.94 × 16,441.56
  4. Step 4: Simplify right side
    29,871x = 677,769,441.39
  5. Step 5: Solve for x
    x = 677,769,441.39/29,871
  6. Step 6: Final answer
    x = 22,689.88

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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.