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Finding the Fourth Proportional to 30,794.96, 46,183.32 and 13,260.68

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Solution

The fourth proportional to 30,794.96, 46,183.32 and 13,260.68 is: 19,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.96 : 46,183.32 = 13,260.68 : x
  2. Step 2: Convert to fraction form
    30,794.96/46,183.32 = 13,260.68/x
  3. Step 3: Cross multiply
    30,794.96x = 46,183.32 × 13,260.68
  4. Step 4: Simplify right side
    30,794.96x = 612,422,227.86
  5. Step 5: Solve for x
    x = 612,422,227.86/30,794.96
  6. Step 6: Final answer
    x = 19,887.09

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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.