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Finding the Fourth Proportional to 19,923.42, 29,882.16 and 7,441.88

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Solution

The fourth proportional to 19,923.42, 29,882.16 and 7,441.88 is: 11,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.42 : 29,882.16 = 7,441.88 : x
  2. Step 2: Convert to fraction form
    19,923.42/29,882.16 = 7,441.88/x
  3. Step 3: Cross multiply
    19,923.42x = 29,882.16 × 7,441.88
  4. Step 4: Simplify right side
    19,923.42x = 222,379,448.86
  5. Step 5: Solve for x
    x = 222,379,448.86/19,923.42
  6. Step 6: Final answer
    x = 11,161.71

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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.