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Finding the Fourth Proportional to 20,602.20, 30,889.80 and 8,114.70

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Solution

The fourth proportional to 20,602.20, 30,889.80 and 8,114.70 is: 12,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.20 : 30,889.80 = 8,114.70 : x
  2. Step 2: Convert to fraction form
    20,602.20/30,889.80 = 8,114.70/x
  3. Step 3: Cross multiply
    20,602.20x = 30,889.80 × 8,114.70
  4. Step 4: Simplify right side
    20,602.20x = 250,661,460.06
  5. Step 5: Solve for x
    x = 250,661,460.06/20,602.20
  6. Step 6: Final answer
    x = 12,166.73

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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.