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Finding the Fourth Proportional to 20,793.78, 31,184.46 and 8,309.52

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Solution

The fourth proportional to 20,793.78, 31,184.46 and 8,309.52 is: 12,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.78 : 31,184.46 = 8,309.52 : x
  2. Step 2: Convert to fraction form
    20,793.78/31,184.46 = 8,309.52/x
  3. Step 3: Cross multiply
    20,793.78x = 31,184.46 × 8,309.52
  4. Step 4: Simplify right side
    20,793.78x = 259,127,894.06
  5. Step 5: Solve for x
    x = 259,127,894.06/20,793.78
  6. Step 6: Final answer
    x = 12,461.80

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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.