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Finding the Fourth Proportional to 16,269.69, 24,408.10 and 6,917.70

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Solution

The fourth proportional to 16,269.69, 24,408.10 and 6,917.70 is: 10,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.69 : 24,408.10 = 6,917.70 : x
  2. Step 2: Convert to fraction form
    16,269.69/24,408.10 = 6,917.70/x
  3. Step 3: Cross multiply
    16,269.69x = 24,408.10 × 6,917.70
  4. Step 4: Simplify right side
    16,269.69x = 168,848,013.55
  5. Step 5: Solve for x
    x = 168,848,013.55/16,269.69
  6. Step 6: Final answer
    x = 10,378.07

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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.