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Finding the Fourth Proportional to 21,757.38, 30,027.68 and 12,199.86

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Solution

The fourth proportional to 21,757.38, 30,027.68 and 12,199.86 is: 16,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.38 : 30,027.68 = 12,199.86 : x
  2. Step 2: Convert to fraction form
    21,757.38/30,027.68 = 12,199.86/x
  3. Step 3: Cross multiply
    21,757.38x = 30,027.68 × 12,199.86
  4. Step 4: Simplify right side
    21,757.38x = 366,333,431.13
  5. Step 5: Solve for x
    x = 366,333,431.13/21,757.38
  6. Step 6: Final answer
    x = 16,837.20

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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.