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Finding the Fourth Proportional to 28,745.38, 39,667.62 and 15,998.14

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Solution

The fourth proportional to 28,745.38, 39,667.62 and 15,998.14 is: 22,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,745.38 : 39,667.62 = 15,998.14 : x
  2. Step 2: Convert to fraction form
    28,745.38/39,667.62 = 15,998.14/x
  3. Step 3: Cross multiply
    28,745.38x = 39,667.62 × 15,998.14
  4. Step 4: Simplify right side
    28,745.38x = 634,608,138.23
  5. Step 5: Solve for x
    x = 634,608,138.23/28,745.38
  6. Step 6: Final answer
    x = 22,076.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.