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Finding the Fourth Proportional to 20,633.75, 30,963.38 and 8,151.65

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Solution

The fourth proportional to 20,633.75, 30,963.38 and 8,151.65 is: 12,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.75 : 30,963.38 = 8,151.65 : x
  2. Step 2: Convert to fraction form
    20,633.75/30,963.38 = 8,151.65/x
  3. Step 3: Cross multiply
    20,633.75x = 30,963.38 × 8,151.65
  4. Step 4: Simplify right side
    20,633.75x = 252,402,441.00
  5. Step 5: Solve for x
    x = 252,402,441.00/20,633.75
  6. Step 6: Final answer
    x = 12,232.51

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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.