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Finding the Fourth Proportional to 20,284.31, 30,403.85 and 8,431.46

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Solution

The fourth proportional to 20,284.31, 30,403.85 and 8,431.46 is: 12,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.31 : 30,403.85 = 8,431.46 : x
  2. Step 2: Convert to fraction form
    20,284.31/30,403.85 = 8,431.46/x
  3. Step 3: Cross multiply
    20,284.31x = 30,403.85 × 8,431.46
  4. Step 4: Simplify right side
    20,284.31x = 256,348,650.94
  5. Step 5: Solve for x
    x = 256,348,650.94/20,284.31
  6. Step 6: Final answer
    x = 12,637.78

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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.