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Finding the Fourth Proportional to 27,794.08, 41,654.96 and 21,196

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Solution

The fourth proportional to 27,794.08, 41,654.96 and 21,196 is: 31,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.08 : 41,654.96 = 21,196 : x
  2. Step 2: Convert to fraction form
    27,794.08/41,654.96 = 21,196/x
  3. Step 3: Cross multiply
    27,794.08x = 41,654.96 × 21,196
  4. Step 4: Simplify right side
    27,794.08x = 882,918,532.16
  5. Step 5: Solve for x
    x = 882,918,532.16/27,794.08
  6. Step 6: Final answer
    x = 31,766.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.