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Finding the Fourth Proportional to 38,185.38, 57,267 and 15,998.13

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Solution

The fourth proportional to 38,185.38, 57,267 and 15,998.13 is: 23,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185.38 : 57,267 = 15,998.13 : x
  2. Step 2: Convert to fraction form
    38,185.38/57,267 = 15,998.13/x
  3. Step 3: Cross multiply
    38,185.38x = 57,267 × 15,998.13
  4. Step 4: Simplify right side
    38,185.38x = 916,164,910.71
  5. Step 5: Solve for x
    x = 916,164,910.71/38,185.38
  6. Step 6: Final answer
    x = 23,992.56

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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.