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Finding the Fourth Proportional to 16,441.60, 24,664.80 and 7,676.80

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Solution

The fourth proportional to 16,441.60, 24,664.80 and 7,676.80 is: 11,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.60 : 24,664.80 = 7,676.80 : x
  2. Step 2: Convert to fraction form
    16,441.60/24,664.80 = 7,676.80/x
  3. Step 3: Cross multiply
    16,441.60x = 24,664.80 × 7,676.80
  4. Step 4: Simplify right side
    16,441.60x = 189,346,736.64
  5. Step 5: Solve for x
    x = 189,346,736.64/16,441.60
  6. Step 6: Final answer
    x = 11,516.32

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1.5x scale

Why These Related Problems?

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