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Finding the Fourth Proportional to 16,118.10, 22,241.87 and 8,947.46

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Solution

The fourth proportional to 16,118.10, 22,241.87 and 8,947.46 is: 12,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118.10 : 22,241.87 = 8,947.46 : x
  2. Step 2: Convert to fraction form
    16,118.10/22,241.87 = 8,947.46/x
  3. Step 3: Cross multiply
    16,118.10x = 22,241.87 × 8,947.46
  4. Step 4: Simplify right side
    16,118.10x = 199,008,086.20
  5. Step 5: Solve for x
    x = 199,008,086.20/16,118.10
  6. Step 6: Final answer
    x = 12,346.87

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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.