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Finding the Fourth Proportional to 38,149.84, 57,213.84 and 13,183.36

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Solution

The fourth proportional to 38,149.84, 57,213.84 and 13,183.36 is: 19,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.84 : 57,213.84 = 13,183.36 : x
  2. Step 2: Convert to fraction form
    38,149.84/57,213.84 = 13,183.36/x
  3. Step 3: Cross multiply
    38,149.84x = 57,213.84 × 13,183.36
  4. Step 4: Simplify right side
    38,149.84x = 754,270,649.70
  5. Step 5: Solve for x
    x = 754,270,649.70/38,149.84
  6. Step 6: Final answer
    x = 19,771.27

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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.