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Finding the Fourth Proportional to 38,609.80, 57,902.36 and 12,308.38

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Solution

The fourth proportional to 38,609.80, 57,902.36 and 12,308.38 is: 18,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,609.80 : 57,902.36 = 12,308.38 : x
  2. Step 2: Convert to fraction form
    38,609.80/57,902.36 = 12,308.38/x
  3. Step 3: Cross multiply
    38,609.80x = 57,902.36 × 12,308.38
  4. Step 4: Simplify right side
    38,609.80x = 712,684,249.78
  5. Step 5: Solve for x
    x = 712,684,249.78/38,609.80
  6. Step 6: Final answer
    x = 18,458.64

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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.