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Finding the Fourth Proportional to 24,400.34, 36,614.34 and 11,252.71

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Solution

The fourth proportional to 24,400.34, 36,614.34 and 11,252.71 is: 16,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,400.34 : 36,614.34 = 11,252.71 : x
  2. Step 2: Convert to fraction form
    24,400.34/36,614.34 = 11,252.71/x
  3. Step 3: Cross multiply
    24,400.34x = 36,614.34 × 11,252.71
  4. Step 4: Simplify right side
    24,400.34x = 412,010,458.33
  5. Step 5: Solve for x
    x = 412,010,458.33/24,400.34
  6. Step 6: Final answer
    x = 16,885.44

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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.