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Finding the Fourth Proportional to 20,189.99, 30,284.71 and 7,042.31

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Solution

The fourth proportional to 20,189.99, 30,284.71 and 7,042.31 is: 10,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.99 : 30,284.71 = 7,042.31 : x
  2. Step 2: Convert to fraction form
    20,189.99/30,284.71 = 7,042.31/x
  3. Step 3: Cross multiply
    20,189.99x = 30,284.71 × 7,042.31
  4. Step 4: Simplify right side
    20,189.99x = 213,274,316.08
  5. Step 5: Solve for x
    x = 213,274,316.08/20,189.99
  6. Step 6: Final answer
    x = 10,563.37

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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.