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Finding the Fourth Proportional to 27,644.56, 38,149.50 and 16,314.08

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Solution

The fourth proportional to 27,644.56, 38,149.50 and 16,314.08 is: 22,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.56 : 38,149.50 = 16,314.08 : x
  2. Step 2: Convert to fraction form
    27,644.56/38,149.50 = 16,314.08/x
  3. Step 3: Cross multiply
    27,644.56x = 38,149.50 × 16,314.08
  4. Step 4: Simplify right side
    27,644.56x = 622,373,994.96
  5. Step 5: Solve for x
    x = 622,373,994.96/27,644.56
  6. Step 6: Final answer
    x = 22,513.43

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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.