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Finding the Fourth Proportional to 20,478.39, 30,698.12 and 8,006.41

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Solution

The fourth proportional to 20,478.39, 30,698.12 and 8,006.41 is: 12,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.39 : 30,698.12 = 8,006.41 : x
  2. Step 2: Convert to fraction form
    20,478.39/30,698.12 = 8,006.41/x
  3. Step 3: Cross multiply
    20,478.39x = 30,698.12 × 8,006.41
  4. Step 4: Simplify right side
    20,478.39x = 245,781,734.95
  5. Step 5: Solve for x
    x = 245,781,734.95/20,478.39
  6. Step 6: Final answer
    x = 12,002.00

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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.