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Finding the Fourth Proportional to 16,213.26, 24,319.88 and 5,269.26

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Solution

The fourth proportional to 16,213.26, 24,319.88 and 5,269.26 is: 7,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.26 : 24,319.88 = 5,269.26 : x
  2. Step 2: Convert to fraction form
    16,213.26/24,319.88 = 5,269.26/x
  3. Step 3: Cross multiply
    16,213.26x = 24,319.88 × 5,269.26
  4. Step 4: Simplify right side
    16,213.26x = 128,147,770.89
  5. Step 5: Solve for x
    x = 128,147,770.89/16,213.26
  6. Step 6: Final answer
    x = 7,903.89

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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.