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Finding the Fourth Proportional to 16,396.69, 24,589 and 5,863.87

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Solution

The fourth proportional to 16,396.69, 24,589 and 5,863.87 is: 8,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,396.69 : 24,589 = 5,863.87 : x
  2. Step 2: Convert to fraction form
    16,396.69/24,589 = 5,863.87/x
  3. Step 3: Cross multiply
    16,396.69x = 24,589 × 5,863.87
  4. Step 4: Simplify right side
    16,396.69x = 144,186,699.43
  5. Step 5: Solve for x
    x = 144,186,699.43/16,396.69
  6. Step 6: Final answer
    x = 8,793.65

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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.