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Finding the Fourth Proportional to 20,134.12, 27,785.28 and 11,749

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Solution

The fourth proportional to 20,134.12, 27,785.28 and 11,749 is: 16,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.12 : 27,785.28 = 11,749 : x
  2. Step 2: Convert to fraction form
    20,134.12/27,785.28 = 11,749/x
  3. Step 3: Cross multiply
    20,134.12x = 27,785.28 × 11,749
  4. Step 4: Simplify right side
    20,134.12x = 326,449,254.72
  5. Step 5: Solve for x
    x = 326,449,254.72/20,134.12
  6. Step 6: Final answer
    x = 16,213.73

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