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Finding the Fourth Proportional to 16,234.88, 24,343 and 6,362.60

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Solution

The fourth proportional to 16,234.88, 24,343 and 6,362.60 is: 9,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.88 : 24,343 = 6,362.60 : x
  2. Step 2: Convert to fraction form
    16,234.88/24,343 = 6,362.60/x
  3. Step 3: Cross multiply
    16,234.88x = 24,343 × 6,362.60
  4. Step 4: Simplify right side
    16,234.88x = 154,884,771.80
  5. Step 5: Solve for x
    x = 154,884,771.80/16,234.88
  6. Step 6: Final answer
    x = 9,540.25

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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.