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Finding the Fourth Proportional to 27,878.91, 38,455.40 and 16,540.38

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Solution

The fourth proportional to 27,878.91, 38,455.40 and 16,540.38 is: 22,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.91 : 38,455.40 = 16,540.38 : x
  2. Step 2: Convert to fraction form
    27,878.91/38,455.40 = 16,540.38/x
  3. Step 3: Cross multiply
    27,878.91x = 38,455.40 × 16,540.38
  4. Step 4: Simplify right side
    27,878.91x = 636,066,846.35
  5. Step 5: Solve for x
    x = 636,066,846.35/27,878.91
  6. Step 6: Final answer
    x = 22,815.34

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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.