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Finding the Fourth Proportional to 16,222.26, 24,314.70 and 7,328

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Solution

The fourth proportional to 16,222.26, 24,314.70 and 7,328 is: 10,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.26 : 24,314.70 = 7,328 : x
  2. Step 2: Convert to fraction form
    16,222.26/24,314.70 = 7,328/x
  3. Step 3: Cross multiply
    16,222.26x = 24,314.70 × 7,328
  4. Step 4: Simplify right side
    16,222.26x = 178,178,121.60
  5. Step 5: Solve for x
    x = 178,178,121.60/16,222.26
  6. Step 6: Final answer
    x = 10,983.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.