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Finding the Fourth Proportional to 20,414.85, 30,625.07 and 7,264.05

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Solution

The fourth proportional to 20,414.85, 30,625.07 and 7,264.05 is: 10,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.85 : 30,625.07 = 7,264.05 : x
  2. Step 2: Convert to fraction form
    20,414.85/30,625.07 = 7,264.05/x
  3. Step 3: Cross multiply
    20,414.85x = 30,625.07 × 7,264.05
  4. Step 4: Simplify right side
    20,414.85x = 222,462,039.73
  5. Step 5: Solve for x
    x = 222,462,039.73/20,414.85
  6. Step 6: Final answer
    x = 10,897.07

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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.