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Finding the Fourth Proportional to 16,191.09, 24,287.67 and 5,098.20

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Solution

The fourth proportional to 16,191.09, 24,287.67 and 5,098.20 is: 7,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.09 : 24,287.67 = 5,098.20 : x
  2. Step 2: Convert to fraction form
    16,191.09/24,287.67 = 5,098.20/x
  3. Step 3: Cross multiply
    16,191.09x = 24,287.67 × 5,098.20
  4. Step 4: Simplify right side
    16,191.09x = 123,823,399.19
  5. Step 5: Solve for x
    x = 123,823,399.19/16,191.09
  6. Step 6: Final answer
    x = 7,647.63

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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.