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Finding the Fourth Proportional to 20,278.46, 30,418.78 and 6,428.54

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Solution

The fourth proportional to 20,278.46, 30,418.78 and 6,428.54 is: 9,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.46 : 30,418.78 = 6,428.54 : x
  2. Step 2: Convert to fraction form
    20,278.46/30,418.78 = 6,428.54/x
  3. Step 3: Cross multiply
    20,278.46x = 30,418.78 × 6,428.54
  4. Step 4: Simplify right side
    20,278.46x = 195,548,343.98
  5. Step 5: Solve for x
    x = 195,548,343.98/20,278.46
  6. Step 6: Final answer
    x = 9,643.16

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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.