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Finding the Fourth Proportional to 27,786.34, 38,344.79 and 15,849.88

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Solution

The fourth proportional to 27,786.34, 38,344.79 and 15,849.88 is: 21,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.34 : 38,344.79 = 15,849.88 : x
  2. Step 2: Convert to fraction form
    27,786.34/38,344.79 = 15,849.88/x
  3. Step 3: Cross multiply
    27,786.34x = 38,344.79 × 15,849.88
  4. Step 4: Simplify right side
    27,786.34x = 607,760,263.89
  5. Step 5: Solve for x
    x = 607,760,263.89/27,786.34
  6. Step 6: Final answer
    x = 21,872.63

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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.