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Finding the Fourth Proportional to 24,923, 37,391.80 and 7,393.26

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Solution

The fourth proportional to 24,923, 37,391.80 and 7,393.26 is: 11,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923 : 37,391.80 = 7,393.26 : x
  2. Step 2: Convert to fraction form
    24,923/37,391.80 = 7,393.26/x
  3. Step 3: Cross multiply
    24,923x = 37,391.80 × 7,393.26
  4. Step 4: Simplify right side
    24,923x = 276,447,299.27
  5. Step 5: Solve for x
    x = 276,447,299.27/24,923
  6. Step 6: Final answer
    x = 11,092.06

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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.