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Finding the Fourth Proportional to 38,489.50, 57,735.93 and 12,196.18

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Solution

The fourth proportional to 38,489.50, 57,735.93 and 12,196.18 is: 18,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.50 : 57,735.93 = 12,196.18 : x
  2. Step 2: Convert to fraction form
    38,489.50/57,735.93 = 12,196.18/x
  3. Step 3: Cross multiply
    38,489.50x = 57,735.93 × 12,196.18
  4. Step 4: Simplify right side
    38,489.50x = 704,157,794.75
  5. Step 5: Solve for x
    x = 704,157,794.75/38,489.50
  6. Step 6: Final answer
    x = 18,294.80

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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.