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Finding the Fourth Proportional to 20,107.78, 30,138.99 and 9,707.38

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Solution

The fourth proportional to 20,107.78, 30,138.99 and 9,707.38 is: 14,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.78 : 30,138.99 = 9,707.38 : x
  2. Step 2: Convert to fraction form
    20,107.78/30,138.99 = 9,707.38/x
  3. Step 3: Cross multiply
    20,107.78x = 30,138.99 × 9,707.38
  4. Step 4: Simplify right side
    20,107.78x = 292,570,628.75
  5. Step 5: Solve for x
    x = 292,570,628.75/20,107.78
  6. Step 6: Final answer
    x = 14,550.12

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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.