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Finding the Fourth Proportional to 20,196.75, 30,296.13 and 7,717.85

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Solution

The fourth proportional to 20,196.75, 30,296.13 and 7,717.85 is: 11,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196.75 : 30,296.13 = 7,717.85 : x
  2. Step 2: Convert to fraction form
    20,196.75/30,296.13 = 7,717.85/x
  3. Step 3: Cross multiply
    20,196.75x = 30,296.13 × 7,717.85
  4. Step 4: Simplify right side
    20,196.75x = 233,820,986.92
  5. Step 5: Solve for x
    x = 233,820,986.92/20,196.75
  6. Step 6: Final answer
    x = 11,577.16

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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.