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Finding the Fourth Proportional to 20,410.38, 30,622.19 and 10,014.84

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Solution

The fourth proportional to 20,410.38, 30,622.19 and 10,014.84 is: 15,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410.38 : 30,622.19 = 10,014.84 : x
  2. Step 2: Convert to fraction form
    20,410.38/30,622.19 = 10,014.84/x
  3. Step 3: Cross multiply
    20,410.38x = 30,622.19 × 10,014.84
  4. Step 4: Simplify right side
    20,410.38x = 306,676,283.23
  5. Step 5: Solve for x
    x = 306,676,283.23/20,410.38
  6. Step 6: Final answer
    x = 15,025.51

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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.