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Finding the Fourth Proportional to 27,674.80, 41,447.40 and 17,177.20

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Solution

The fourth proportional to 27,674.80, 41,447.40 and 17,177.20 is: 25,725.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,674.80 : 41,447.40 = 17,177.20 : x
  2. Step 2: Convert to fraction form
    27,674.80/41,447.40 = 17,177.20/x
  3. Step 3: Cross multiply
    27,674.80x = 41,447.40 × 17,177.20
  4. Step 4: Simplify right side
    27,674.80x = 711,950,279.28
  5. Step 5: Solve for x
    x = 711,950,279.28/27,674.80
  6. Step 6: Final answer
    x = 25,725.58

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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.