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Finding the Fourth Proportional to 23,651.26, 32,644.43 and 14,218

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Solution

The fourth proportional to 23,651.26, 32,644.43 and 14,218 is: 19,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.26 : 32,644.43 = 14,218 : x
  2. Step 2: Convert to fraction form
    23,651.26/32,644.43 = 14,218/x
  3. Step 3: Cross multiply
    23,651.26x = 32,644.43 × 14,218
  4. Step 4: Simplify right side
    23,651.26x = 464,138,505.74
  5. Step 5: Solve for x
    x = 464,138,505.74/23,651.26
  6. Step 6: Final answer
    x = 19,624.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.