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Finding the Fourth Proportional to 18,298, 27,449.60 and 5,648.82

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Solution

The fourth proportional to 18,298, 27,449.60 and 5,648.82 is: 8,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298 : 27,449.60 = 5,648.82 : x
  2. Step 2: Convert to fraction form
    18,298/27,449.60 = 5,648.82/x
  3. Step 3: Cross multiply
    18,298x = 27,449.60 × 5,648.82
  4. Step 4: Simplify right side
    18,298x = 155,057,849.47
  5. Step 5: Solve for x
    x = 155,057,849.47/18,298
  6. Step 6: Final answer
    x = 8,474.03

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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.