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Finding the Fourth Proportional to 16,216.79, 24,327.69 and 6,856.84

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Solution

The fourth proportional to 16,216.79, 24,327.69 and 6,856.84 is: 10,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.79 : 24,327.69 = 6,856.84 : x
  2. Step 2: Convert to fraction form
    16,216.79/24,327.69 = 6,856.84/x
  3. Step 3: Cross multiply
    16,216.79x = 24,327.69 × 6,856.84
  4. Step 4: Simplify right side
    16,216.79x = 166,810,921.98
  5. Step 5: Solve for x
    x = 166,810,921.98/16,216.79
  6. Step 6: Final answer
    x = 10,286.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.