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Finding the Fourth Proportional to 27,685.88, 38,205.30 and 15,747.80

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Solution

The fourth proportional to 27,685.88, 38,205.30 and 15,747.80 is: 21,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.88 : 38,205.30 = 15,747.80 : x
  2. Step 2: Convert to fraction form
    27,685.88/38,205.30 = 15,747.80/x
  3. Step 3: Cross multiply
    27,685.88x = 38,205.30 × 15,747.80
  4. Step 4: Simplify right side
    27,685.88x = 601,649,423.34
  5. Step 5: Solve for x
    x = 601,649,423.34/27,685.88
  6. Step 6: Final answer
    x = 21,731.27

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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.