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Finding the Fourth Proportional to 27,771.62, 41,660.70 and 9,754.32

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Solution

The fourth proportional to 27,771.62, 41,660.70 and 9,754.32 is: 14,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.62 : 41,660.70 = 9,754.32 : x
  2. Step 2: Convert to fraction form
    27,771.62/41,660.70 = 9,754.32/x
  3. Step 3: Cross multiply
    27,771.62x = 41,660.70 × 9,754.32
  4. Step 4: Simplify right side
    27,771.62x = 406,371,799.22
  5. Step 5: Solve for x
    x = 406,371,799.22/27,771.62
  6. Step 6: Final answer
    x = 14,632.63

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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.