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Finding the Fourth Proportional to 27,634.82, 38,134.86 and 15,698.12

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Solution

The fourth proportional to 27,634.82, 38,134.86 and 15,698.12 is: 21,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634.82 : 38,134.86 = 15,698.12 : x
  2. Step 2: Convert to fraction form
    27,634.82/38,134.86 = 15,698.12/x
  3. Step 3: Cross multiply
    27,634.82x = 38,134.86 × 15,698.12
  4. Step 4: Simplify right side
    27,634.82x = 598,645,608.46
  5. Step 5: Solve for x
    x = 598,645,608.46/27,634.82
  6. Step 6: Final answer
    x = 21,662.73

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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.