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Finding the Fourth Proportional to 27,456.79, 41,186.94 and 9,685.27

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Solution

The fourth proportional to 27,456.79, 41,186.94 and 9,685.27 is: 14,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.79 : 41,186.94 = 9,685.27 : x
  2. Step 2: Convert to fraction form
    27,456.79/41,186.94 = 9,685.27/x
  3. Step 3: Cross multiply
    27,456.79x = 41,186.94 × 9,685.27
  4. Step 4: Simplify right side
    27,456.79x = 398,906,634.37
  5. Step 5: Solve for x
    x = 398,906,634.37/27,456.79
  6. Step 6: Final answer
    x = 14,528.52

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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.