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Finding the Fourth Proportional to 38,183.89, 57,254.93 and 13,221.82

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Solution

The fourth proportional to 38,183.89, 57,254.93 and 13,221.82 is: 19,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,183.89 : 57,254.93 = 13,221.82 : x
  2. Step 2: Convert to fraction form
    38,183.89/57,254.93 = 13,221.82/x
  3. Step 3: Cross multiply
    38,183.89x = 57,254.93 × 13,221.82
  4. Step 4: Simplify right side
    38,183.89x = 757,014,378.57
  5. Step 5: Solve for x
    x = 757,014,378.57/38,183.89
  6. Step 6: Final answer
    x = 19,825.49

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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.