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Finding the Fourth Proportional to 27,644.67, 38,149.74 and 15,711.99

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Solution

The fourth proportional to 27,644.67, 38,149.74 and 15,711.99 is: 21,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.67 : 38,149.74 = 15,711.99 : x
  2. Step 2: Convert to fraction form
    27,644.67/38,149.74 = 15,711.99/x
  3. Step 3: Cross multiply
    27,644.67x = 38,149.74 × 15,711.99
  4. Step 4: Simplify right side
    27,644.67x = 599,408,333.38
  5. Step 5: Solve for x
    x = 599,408,333.38/27,644.67
  6. Step 6: Final answer
    x = 21,682.60

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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.