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Finding the Fourth Proportional to 38,399.20, 57,590.15 and 13,775.20

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Solution

The fourth proportional to 38,399.20, 57,590.15 and 13,775.20 is: 20,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,399.20 : 57,590.15 = 13,775.20 : x
  2. Step 2: Convert to fraction form
    38,399.20/57,590.15 = 13,775.20/x
  3. Step 3: Cross multiply
    38,399.20x = 57,590.15 × 13,775.20
  4. Step 4: Simplify right side
    38,399.20x = 793,315,546.33
  5. Step 5: Solve for x
    x = 793,315,546.33/38,399.20
  6. Step 6: Final answer
    x = 20,659.69

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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.