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Finding the Fourth Proportional to 21,550.48, 29,730.24 and 13,162

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Solution

The fourth proportional to 21,550.48, 29,730.24 and 13,162 is: 18,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,550.48 : 29,730.24 = 13,162 : x
  2. Step 2: Convert to fraction form
    21,550.48/29,730.24 = 13,162/x
  3. Step 3: Cross multiply
    21,550.48x = 29,730.24 × 13,162
  4. Step 4: Simplify right side
    21,550.48x = 391,309,418.88
  5. Step 5: Solve for x
    x = 391,309,418.88/21,550.48
  6. Step 6: Final answer
    x = 18,157.81

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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.