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Finding the Fourth Proportional to 24,544.38, 36,816.57 and 6,076.38

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Solution

The fourth proportional to 24,544.38, 36,816.57 and 6,076.38 is: 9,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544.38 : 36,816.57 = 6,076.38 : x
  2. Step 2: Convert to fraction form
    24,544.38/36,816.57 = 6,076.38/x
  3. Step 3: Cross multiply
    24,544.38x = 36,816.57 × 6,076.38
  4. Step 4: Simplify right side
    24,544.38x = 223,711,469.62
  5. Step 5: Solve for x
    x = 223,711,469.62/24,544.38
  6. Step 6: Final answer
    x = 9,114.57

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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.