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Finding the Fourth Proportional to 8,020.34, 12,031.81 and 2,472.39

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Solution

The fourth proportional to 8,020.34, 12,031.81 and 2,472.39 is: 3,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.34 : 12,031.81 = 2,472.39 : x
  2. Step 2: Convert to fraction form
    8,020.34/12,031.81 = 2,472.39/x
  3. Step 3: Cross multiply
    8,020.34x = 12,031.81 × 2,472.39
  4. Step 4: Simplify right side
    8,020.34x = 29,747,310.27
  5. Step 5: Solve for x
    x = 29,747,310.27/8,020.34
  6. Step 6: Final answer
    x = 3,708.98

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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.