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Finding the Fourth Proportional to 17,754.06, 24,500.75 and 9,796.82

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Solution

The fourth proportional to 17,754.06, 24,500.75 and 9,796.82 is: 13,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.06 : 24,500.75 = 9,796.82 : x
  2. Step 2: Convert to fraction form
    17,754.06/24,500.75 = 9,796.82/x
  3. Step 3: Cross multiply
    17,754.06x = 24,500.75 × 9,796.82
  4. Step 4: Simplify right side
    17,754.06x = 240,029,437.62
  5. Step 5: Solve for x
    x = 240,029,437.62/17,754.06
  6. Step 6: Final answer
    x = 13,519.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.