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Finding the Fourth Proportional to 17,131.44, 23,640.09 and 10,416.14

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Solution

The fourth proportional to 17,131.44, 23,640.09 and 10,416.14 is: 14,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.44 : 23,640.09 = 10,416.14 : x
  2. Step 2: Convert to fraction form
    17,131.44/23,640.09 = 10,416.14/x
  3. Step 3: Cross multiply
    17,131.44x = 23,640.09 × 10,416.14
  4. Step 4: Simplify right side
    17,131.44x = 246,238,368.85
  5. Step 5: Solve for x
    x = 246,238,368.85/17,131.44
  6. Step 6: Final answer
    x = 14,373.48

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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.