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Finding the Fourth Proportional to 20,017.84, 30,031.08 and 8,339.80

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Solution

The fourth proportional to 20,017.84, 30,031.08 and 8,339.80 is: 12,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.84 : 30,031.08 = 8,339.80 : x
  2. Step 2: Convert to fraction form
    20,017.84/30,031.08 = 8,339.80/x
  3. Step 3: Cross multiply
    20,017.84x = 30,031.08 × 8,339.80
  4. Step 4: Simplify right side
    20,017.84x = 250,453,200.98
  5. Step 5: Solve for x
    x = 250,453,200.98/20,017.84
  6. Step 6: Final answer
    x = 12,511.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.