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Finding the Fourth Proportional to 20,422.80, 30,634.20 and 10,054.80

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Solution

The fourth proportional to 20,422.80, 30,634.20 and 10,054.80 is: 15,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.80 : 30,634.20 = 10,054.80 : x
  2. Step 2: Convert to fraction form
    20,422.80/30,634.20 = 10,054.80/x
  3. Step 3: Cross multiply
    20,422.80x = 30,634.20 × 10,054.80
  4. Step 4: Simplify right side
    20,422.80x = 308,020,754.16
  5. Step 5: Solve for x
    x = 308,020,754.16/20,422.80
  6. Step 6: Final answer
    x = 15,082.20

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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.