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Finding the Fourth Proportional to 29,947.40, 41,327.70 and 16,519.22

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Solution

The fourth proportional to 29,947.40, 41,327.70 and 16,519.22 is: 22,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.40 : 41,327.70 = 16,519.22 : x
  2. Step 2: Convert to fraction form
    29,947.40/41,327.70 = 16,519.22/x
  3. Step 3: Cross multiply
    29,947.40x = 41,327.70 × 16,519.22
  4. Step 4: Simplify right side
    29,947.40x = 682,701,368.39
  5. Step 5: Solve for x
    x = 682,701,368.39/29,947.40
  6. Step 6: Final answer
    x = 22,796.68

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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.