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Finding the Fourth Proportional to 24,446.88, 36,664.42 and 11,286.60

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Solution

The fourth proportional to 24,446.88, 36,664.42 and 11,286.60 is: 16,927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.88 : 36,664.42 = 11,286.60 : x
  2. Step 2: Convert to fraction form
    24,446.88/36,664.42 = 11,286.60/x
  3. Step 3: Cross multiply
    24,446.88x = 36,664.42 × 11,286.60
  4. Step 4: Simplify right side
    24,446.88x = 413,816,642.77
  5. Step 5: Solve for x
    x = 413,816,642.77/24,446.88
  6. Step 6: Final answer
    x = 16,927.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.