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Finding the Fourth Proportional to 20,189.87, 30,284.82 and 7,041.90

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Solution

The fourth proportional to 20,189.87, 30,284.82 and 7,041.90 is: 10,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.87 : 30,284.82 = 7,041.90 : x
  2. Step 2: Convert to fraction form
    20,189.87/30,284.82 = 7,041.90/x
  3. Step 3: Cross multiply
    20,189.87x = 30,284.82 × 7,041.90
  4. Step 4: Simplify right side
    20,189.87x = 213,262,673.96
  5. Step 5: Solve for x
    x = 213,262,673.96/20,189.87
  6. Step 6: Final answer
    x = 10,562.86

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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.