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Finding the Fourth Proportional to 27,456.96, 41,179.20 and 13,416.96

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Solution

The fourth proportional to 27,456.96, 41,179.20 and 13,416.96 is: 20,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.96 : 41,179.20 = 13,416.96 : x
  2. Step 2: Convert to fraction form
    27,456.96/41,179.20 = 13,416.96/x
  3. Step 3: Cross multiply
    27,456.96x = 41,179.20 × 13,416.96
  4. Step 4: Simplify right side
    27,456.96x = 552,499,679.23
  5. Step 5: Solve for x
    x = 552,499,679.23/27,456.96
  6. Step 6: Final answer
    x = 20,122.39

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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.