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Finding the Fourth Proportional to 17,467.44, 24,102.36 and 10,014

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Solution

The fourth proportional to 17,467.44, 24,102.36 and 10,014 is: 13,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.44 : 24,102.36 = 10,014 : x
  2. Step 2: Convert to fraction form
    17,467.44/24,102.36 = 10,014/x
  3. Step 3: Cross multiply
    17,467.44x = 24,102.36 × 10,014
  4. Step 4: Simplify right side
    17,467.44x = 241,361,033.04
  5. Step 5: Solve for x
    x = 241,361,033.04/17,467.44
  6. Step 6: Final answer
    x = 13,817.77

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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.