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Finding the Fourth Proportional to 20,290.50, 30,435.75 and 7,141.37

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Solution

The fourth proportional to 20,290.50, 30,435.75 and 7,141.37 is: 10,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.50 : 30,435.75 = 7,141.37 : x
  2. Step 2: Convert to fraction form
    20,290.50/30,435.75 = 7,141.37/x
  3. Step 3: Cross multiply
    20,290.50x = 30,435.75 × 7,141.37
  4. Step 4: Simplify right side
    20,290.50x = 217,352,799.80
  5. Step 5: Solve for x
    x = 217,352,799.80/20,290.50
  6. Step 6: Final answer
    x = 10,712.05

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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.