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Finding the Fourth Proportional to 17,480.44, 24,120.30 and 10,027

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Solution

The fourth proportional to 17,480.44, 24,120.30 and 10,027 is: 13,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480.44 : 24,120.30 = 10,027 : x
  2. Step 2: Convert to fraction form
    17,480.44/24,120.30 = 10,027/x
  3. Step 3: Cross multiply
    17,480.44x = 24,120.30 × 10,027
  4. Step 4: Simplify right side
    17,480.44x = 241,854,248.10
  5. Step 5: Solve for x
    x = 241,854,248.10/17,480.44
  6. Step 6: Final answer
    x = 13,835.71

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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.