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Finding the Fourth Proportional to 27,846.35, 38,422.53 and 16,513.73

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Solution

The fourth proportional to 27,846.35, 38,422.53 and 16,513.73 is: 22,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.35 : 38,422.53 = 16,513.73 : x
  2. Step 2: Convert to fraction form
    27,846.35/38,422.53 = 16,513.73/x
  3. Step 3: Cross multiply
    27,846.35x = 38,422.53 × 16,513.73
  4. Step 4: Simplify right side
    27,846.35x = 634,499,286.34
  5. Step 5: Solve for x
    x = 634,499,286.34/27,846.35
  6. Step 6: Final answer
    x = 22,785.73

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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.