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Finding the Fourth Proportional to 27,544.50, 38,020.42 and 16,213.86

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Solution

The fourth proportional to 27,544.50, 38,020.42 and 16,213.86 is: 22,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544.50 : 38,020.42 = 16,213.86 : x
  2. Step 2: Convert to fraction form
    27,544.50/38,020.42 = 16,213.86/x
  3. Step 3: Cross multiply
    27,544.50x = 38,020.42 × 16,213.86
  4. Step 4: Simplify right side
    27,544.50x = 616,457,767.02
  5. Step 5: Solve for x
    x = 616,457,767.02/27,544.50
  6. Step 6: Final answer
    x = 22,380.43

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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.