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Finding the Fourth Proportional to 20,290.14, 30,435.21 and 7,642.26

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Solution

The fourth proportional to 20,290.14, 30,435.21 and 7,642.26 is: 11,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.14 : 30,435.21 = 7,642.26 : x
  2. Step 2: Convert to fraction form
    20,290.14/30,435.21 = 7,642.26/x
  3. Step 3: Cross multiply
    20,290.14x = 30,435.21 × 7,642.26
  4. Step 4: Simplify right side
    20,290.14x = 232,593,787.97
  5. Step 5: Solve for x
    x = 232,593,787.97/20,290.14
  6. Step 6: Final answer
    x = 11,463.39

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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.