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Finding the Fourth Proportional to 24,422.72, 36,640.24 and 11,284.38

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Solution

The fourth proportional to 24,422.72, 36,640.24 and 11,284.38 is: 16,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.72 : 36,640.24 = 11,284.38 : x
  2. Step 2: Convert to fraction form
    24,422.72/36,640.24 = 11,284.38/x
  3. Step 3: Cross multiply
    24,422.72x = 36,640.24 × 11,284.38
  4. Step 4: Simplify right side
    24,422.72x = 413,462,391.45
  5. Step 5: Solve for x
    x = 413,462,391.45/24,422.72
  6. Step 6: Final answer
    x = 16,929.42

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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.