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Finding the Fourth Proportional to 16,216.40, 24,305.40 and 6,856.40

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Solution

The fourth proportional to 16,216.40, 24,305.40 and 6,856.40 is: 10,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.40 : 24,305.40 = 6,856.40 : x
  2. Step 2: Convert to fraction form
    16,216.40/24,305.40 = 6,856.40/x
  3. Step 3: Cross multiply
    16,216.40x = 24,305.40 × 6,856.40
  4. Step 4: Simplify right side
    16,216.40x = 166,647,544.56
  5. Step 5: Solve for x
    x = 166,647,544.56/16,216.40
  6. Step 6: Final answer
    x = 10,276.48

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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.