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Finding the Fourth Proportional to 20,138.90, 30,212.70 and 7,659.15

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Solution

The fourth proportional to 20,138.90, 30,212.70 and 7,659.15 is: 11,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.90 : 30,212.70 = 7,659.15 : x
  2. Step 2: Convert to fraction form
    20,138.90/30,212.70 = 7,659.15/x
  3. Step 3: Cross multiply
    20,138.90x = 30,212.70 × 7,659.15
  4. Step 4: Simplify right side
    20,138.90x = 231,403,601.21
  5. Step 5: Solve for x
    x = 231,403,601.21/20,138.90
  6. Step 6: Final answer
    x = 11,490.38

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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.