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Finding the Fourth Proportional to 23,144, 34,708.80 and 8,350.98

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Solution

The fourth proportional to 23,144, 34,708.80 and 8,350.98 is: 12,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144 : 34,708.80 = 8,350.98 : x
  2. Step 2: Convert to fraction form
    23,144/34,708.80 = 8,350.98/x
  3. Step 3: Cross multiply
    23,144x = 34,708.80 × 8,350.98
  4. Step 4: Simplify right side
    23,144x = 289,852,494.62
  5. Step 5: Solve for x
    x = 289,852,494.62/23,144
  6. Step 6: Final answer
    x = 12,523.87

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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.