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Finding the Fourth Proportional to 20,672.24, 31,023.05 and 8,194.95

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Solution

The fourth proportional to 20,672.24, 31,023.05 and 8,194.95 is: 12,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.24 : 31,023.05 = 8,194.95 : x
  2. Step 2: Convert to fraction form
    20,672.24/31,023.05 = 8,194.95/x
  3. Step 3: Cross multiply
    20,672.24x = 31,023.05 × 8,194.95
  4. Step 4: Simplify right side
    20,672.24x = 254,232,302.62
  5. Step 5: Solve for x
    x = 254,232,302.62/20,672.24
  6. Step 6: Final answer
    x = 12,298.25

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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.