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Finding the Fourth Proportional to 20,513.80, 30,769.10 and 8,031.40

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Solution

The fourth proportional to 20,513.80, 30,769.10 and 8,031.40 is: 12,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.80 : 30,769.10 = 8,031.40 : x
  2. Step 2: Convert to fraction form
    20,513.80/30,769.10 = 8,031.40/x
  3. Step 3: Cross multiply
    20,513.80x = 30,769.10 × 8,031.40
  4. Step 4: Simplify right side
    20,513.80x = 247,118,949.74
  5. Step 5: Solve for x
    x = 247,118,949.74/20,513.80
  6. Step 6: Final answer
    x = 12,046.47

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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.