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Finding the Fourth Proportional to 17,131.77, 23,649.12 and 10,419.55

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Solution

The fourth proportional to 17,131.77, 23,649.12 and 10,419.55 is: 14,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.77 : 23,649.12 = 10,419.55 : x
  2. Step 2: Convert to fraction form
    17,131.77/23,649.12 = 10,419.55/x
  3. Step 3: Cross multiply
    17,131.77x = 23,649.12 × 10,419.55
  4. Step 4: Simplify right side
    17,131.77x = 246,413,188.30
  5. Step 5: Solve for x
    x = 246,413,188.30/17,131.77
  6. Step 6: Final answer
    x = 14,383.41

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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.