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Finding the Fourth Proportional to 27,878.00, 38,469.80 and 16,546.91

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Solution

The fourth proportional to 27,878.00, 38,469.80 and 16,546.91 is: 22,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.00 : 38,469.80 = 16,546.91 : x
  2. Step 2: Convert to fraction form
    27,878.00/38,469.80 = 16,546.91/x
  3. Step 3: Cross multiply
    27,878.00x = 38,469.80 × 16,546.91
  4. Step 4: Simplify right side
    27,878.00x = 636,556,167.34
  5. Step 5: Solve for x
    x = 636,556,167.34/27,878.00
  6. Step 6: Final answer
    x = 22,833.64

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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.