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Finding the Fourth Proportional to 20,170.28, 30,254.70 and 7,022.60

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Solution

The fourth proportional to 20,170.28, 30,254.70 and 7,022.60 is: 10,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.28 : 30,254.70 = 7,022.60 : x
  2. Step 2: Convert to fraction form
    20,170.28/30,254.70 = 7,022.60/x
  3. Step 3: Cross multiply
    20,170.28x = 30,254.70 × 7,022.60
  4. Step 4: Simplify right side
    20,170.28x = 212,466,656.22
  5. Step 5: Solve for x
    x = 212,466,656.22/20,170.28
  6. Step 6: Final answer
    x = 10,533.65

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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.