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Finding the Fourth Proportional to 17,474.85, 24,114.09 and 9,921.33

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Solution

The fourth proportional to 17,474.85, 24,114.09 and 9,921.33 is: 13,690.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.85 : 24,114.09 = 9,921.33 : x
  2. Step 2: Convert to fraction form
    17,474.85/24,114.09 = 9,921.33/x
  3. Step 3: Cross multiply
    17,474.85x = 24,114.09 × 9,921.33
  4. Step 4: Simplify right side
    17,474.85x = 239,243,844.54
  5. Step 5: Solve for x
    x = 239,243,844.54/17,474.85
  6. Step 6: Final answer
    x = 13,690.75

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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.