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Finding the Fourth Proportional to 20,892.94, 31,331.56 and 8,408.74

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Solution

The fourth proportional to 20,892.94, 31,331.56 and 8,408.74 is: 12,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.94 : 31,331.56 = 8,408.74 : x
  2. Step 2: Convert to fraction form
    20,892.94/31,331.56 = 8,408.74/x
  3. Step 3: Cross multiply
    20,892.94x = 31,331.56 × 8,408.74
  4. Step 4: Simplify right side
    20,892.94x = 263,458,941.83
  5. Step 5: Solve for x
    x = 263,458,941.83/20,892.94
  6. Step 6: Final answer
    x = 12,609.95

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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.