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Finding the Fourth Proportional to 16,257.38, 24,380.67 and 6,394.10

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Solution

The fourth proportional to 16,257.38, 24,380.67 and 6,394.10 is: 9,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.38 : 24,380.67 = 6,394.10 : x
  2. Step 2: Convert to fraction form
    16,257.38/24,380.67 = 6,394.10/x
  3. Step 3: Cross multiply
    16,257.38x = 24,380.67 × 6,394.10
  4. Step 4: Simplify right side
    16,257.38x = 155,892,442.05
  5. Step 5: Solve for x
    x = 155,892,442.05/16,257.38
  6. Step 6: Final answer
    x = 9,589.03

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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.