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Finding the Fourth Proportional to 16,189.11, 24,287.49 and 5,095.80

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Solution

The fourth proportional to 16,189.11, 24,287.49 and 5,095.80 is: 7,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.11 : 24,287.49 = 5,095.80 : x
  2. Step 2: Convert to fraction form
    16,189.11/24,287.49 = 5,095.80/x
  3. Step 3: Cross multiply
    16,189.11x = 24,287.49 × 5,095.80
  4. Step 4: Simplify right side
    16,189.11x = 123,764,191.54
  5. Step 5: Solve for x
    x = 123,764,191.54/16,189.11
  6. Step 6: Final answer
    x = 7,644.90

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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.