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Finding the Fourth Proportional to 24,380.96, 33,647.04 and 13,771.04

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Solution

The fourth proportional to 24,380.96, 33,647.04 and 13,771.04 is: 19,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.96 : 33,647.04 = 13,771.04 : x
  2. Step 2: Convert to fraction form
    24,380.96/33,647.04 = 13,771.04/x
  3. Step 3: Cross multiply
    24,380.96x = 33,647.04 × 13,771.04
  4. Step 4: Simplify right side
    24,380.96x = 463,354,733.72
  5. Step 5: Solve for x
    x = 463,354,733.72/24,380.96
  6. Step 6: Final answer
    x = 19,004.78

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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.