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Finding the Fourth Proportional to 24,550.40, 36,825.56 and 6,082.40

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Solution

The fourth proportional to 24,550.40, 36,825.56 and 6,082.40 is: 9,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550.40 : 36,825.56 = 6,082.40 : x
  2. Step 2: Convert to fraction form
    24,550.40/36,825.56 = 6,082.40/x
  3. Step 3: Cross multiply
    24,550.40x = 36,825.56 × 6,082.40
  4. Step 4: Simplify right side
    24,550.40x = 223,987,786.14
  5. Step 5: Solve for x
    x = 223,987,786.14/24,550.40
  6. Step 6: Final answer
    x = 9,123.59

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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.