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Finding the Fourth Proportional to 24,177.81, 36,277.89 and 11,034.21

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Solution

The fourth proportional to 24,177.81, 36,277.89 and 11,034.21 is: 16,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.81 : 36,277.89 = 11,034.21 : x
  2. Step 2: Convert to fraction form
    24,177.81/36,277.89 = 11,034.21/x
  3. Step 3: Cross multiply
    24,177.81x = 36,277.89 × 11,034.21
  4. Step 4: Simplify right side
    24,177.81x = 400,297,856.62
  5. Step 5: Solve for x
    x = 400,297,856.62/24,177.81
  6. Step 6: Final answer
    x = 16,556.42

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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.