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Finding the Fourth Proportional to 16,589.89, 24,872.64 and 7,820.05

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Solution

The fourth proportional to 16,589.89, 24,872.64 and 7,820.05 is: 11,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.89 : 24,872.64 = 7,820.05 : x
  2. Step 2: Convert to fraction form
    16,589.89/24,872.64 = 7,820.05/x
  3. Step 3: Cross multiply
    16,589.89x = 24,872.64 × 7,820.05
  4. Step 4: Simplify right side
    16,589.89x = 194,505,249.33
  5. Step 5: Solve for x
    x = 194,505,249.33/16,589.89
  6. Step 6: Final answer
    x = 11,724.32

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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.