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Finding the Fourth Proportional to 20,883.72, 31,337.82 and 8,401.80

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Solution

The fourth proportional to 20,883.72, 31,337.82 and 8,401.80 is: 12,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.72 : 31,337.82 = 8,401.80 : x
  2. Step 2: Convert to fraction form
    20,883.72/31,337.82 = 8,401.80/x
  3. Step 3: Cross multiply
    20,883.72x = 31,337.82 × 8,401.80
  4. Step 4: Simplify right side
    20,883.72x = 263,294,096.08
  5. Step 5: Solve for x
    x = 263,294,096.08/20,883.72
  6. Step 6: Final answer
    x = 12,607.62

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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.