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Finding the Fourth Proportional to 27,768.33, 41,654.86 and 9,754.98

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Solution

The fourth proportional to 27,768.33, 41,654.86 and 9,754.98 is: 14,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.33 : 41,654.86 = 9,754.98 : x
  2. Step 2: Convert to fraction form
    27,768.33/41,654.86 = 9,754.98/x
  3. Step 3: Cross multiply
    27,768.33x = 41,654.86 × 9,754.98
  4. Step 4: Simplify right side
    27,768.33x = 406,342,173.29
  5. Step 5: Solve for x
    x = 406,342,173.29/27,768.33
  6. Step 6: Final answer
    x = 14,633.30

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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.