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Finding the Fourth Proportional to 14,416.72, 21,633.72 and 5,183.44

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Solution

The fourth proportional to 14,416.72, 21,633.72 and 5,183.44 is: 7,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.72 : 21,633.72 = 5,183.44 : x
  2. Step 2: Convert to fraction form
    14,416.72/21,633.72 = 5,183.44/x
  3. Step 3: Cross multiply
    14,416.72x = 21,633.72 × 5,183.44
  4. Step 4: Simplify right side
    14,416.72x = 112,137,089.60
  5. Step 5: Solve for x
    x = 112,137,089.60/14,416.72
  6. Step 6: Final answer
    x = 7,778.27

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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.