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Finding the Fourth Proportional to 27,456.67, 41,186.76 and 9,685.13

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Solution

The fourth proportional to 27,456.67, 41,186.76 and 9,685.13 is: 14,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.67 : 41,186.76 = 9,685.13 : x
  2. Step 2: Convert to fraction form
    27,456.67/41,186.76 = 9,685.13/x
  3. Step 3: Cross multiply
    27,456.67x = 41,186.76 × 9,685.13
  4. Step 4: Simplify right side
    27,456.67x = 398,899,076.45
  5. Step 5: Solve for x
    x = 398,899,076.45/27,456.67
  6. Step 6: Final answer
    x = 14,528.31

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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.