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Finding the Fourth Proportional to 20,637.76, 30,961.12 and 6,786.24

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Solution

The fourth proportional to 20,637.76, 30,961.12 and 6,786.24 is: 10,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,637.76 : 30,961.12 = 6,786.24 : x
  2. Step 2: Convert to fraction form
    20,637.76/30,961.12 = 6,786.24/x
  3. Step 3: Cross multiply
    20,637.76x = 30,961.12 × 6,786.24
  4. Step 4: Simplify right side
    20,637.76x = 210,109,590.99
  5. Step 5: Solve for x
    x = 210,109,590.99/20,637.76
  6. Step 6: Final answer
    x = 10,180.83

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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.