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Finding the Fourth Proportional to 27,712.89, 38,243.20 and 15,614

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Solution

The fourth proportional to 27,712.89, 38,243.20 and 15,614 is: 21,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.89 : 38,243.20 = 15,614 : x
  2. Step 2: Convert to fraction form
    27,712.89/38,243.20 = 15,614/x
  3. Step 3: Cross multiply
    27,712.89x = 38,243.20 × 15,614
  4. Step 4: Simplify right side
    27,712.89x = 597,129,324.80
  5. Step 5: Solve for x
    x = 597,129,324.80/27,712.89
  6. Step 6: Final answer
    x = 21,546.99

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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.