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Finding the Fourth Proportional to 16,280.64, 22,467.24 and 8,828.64

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Solution

The fourth proportional to 16,280.64, 22,467.24 and 8,828.64 is: 12,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.64 : 22,467.24 = 8,828.64 : x
  2. Step 2: Convert to fraction form
    16,280.64/22,467.24 = 8,828.64/x
  3. Step 3: Cross multiply
    16,280.64x = 22,467.24 × 8,828.64
  4. Step 4: Simplify right side
    16,280.64x = 198,355,173.75
  5. Step 5: Solve for x
    x = 198,355,173.75/16,280.64
  6. Step 6: Final answer
    x = 12,183.50

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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.