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Finding the Fourth Proportional to 20,273.86, 30,410.43 and 6,422.50

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Solution

The fourth proportional to 20,273.86, 30,410.43 and 6,422.50 is: 9,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.86 : 30,410.43 = 6,422.50 : x
  2. Step 2: Convert to fraction form
    20,273.86/30,410.43 = 6,422.50/x
  3. Step 3: Cross multiply
    20,273.86x = 30,410.43 × 6,422.50
  4. Step 4: Simplify right side
    20,273.86x = 195,310,986.68
  5. Step 5: Solve for x
    x = 195,310,986.68/20,273.86
  6. Step 6: Final answer
    x = 9,633.64

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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.