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Finding the Fourth Proportional to 38,183.74, 57,261.86 and 13,217

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Solution

The fourth proportional to 38,183.74, 57,261.86 and 13,217 is: 19,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,183.74 : 57,261.86 = 13,217 : x
  2. Step 2: Convert to fraction form
    38,183.74/57,261.86 = 13,217/x
  3. Step 3: Cross multiply
    38,183.74x = 57,261.86 × 13,217
  4. Step 4: Simplify right side
    38,183.74x = 756,830,003.62
  5. Step 5: Solve for x
    x = 756,830,003.62/38,183.74
  6. Step 6: Final answer
    x = 19,820.74

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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.