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Finding the Fourth Proportional to 20,182.20, 30,274.88 and 7,034.28

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Solution

The fourth proportional to 20,182.20, 30,274.88 and 7,034.28 is: 10,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.20 : 30,274.88 = 7,034.28 : x
  2. Step 2: Convert to fraction form
    20,182.20/30,274.88 = 7,034.28/x
  3. Step 3: Cross multiply
    20,182.20x = 30,274.88 × 7,034.28
  4. Step 4: Simplify right side
    20,182.20x = 212,961,982.89
  5. Step 5: Solve for x
    x = 212,961,982.89/20,182.20
  6. Step 6: Final answer
    x = 10,551.97

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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.