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Finding the Fourth Proportional to 29,985.69, 41,383.91 and 17,410.44

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Solution

The fourth proportional to 29,985.69, 41,383.91 and 17,410.44 is: 24,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.69 : 41,383.91 = 17,410.44 : x
  2. Step 2: Convert to fraction form
    29,985.69/41,383.91 = 17,410.44/x
  3. Step 3: Cross multiply
    29,985.69x = 41,383.91 × 17,410.44
  4. Step 4: Simplify right side
    29,985.69x = 720,511,994.97
  5. Step 5: Solve for x
    x = 720,511,994.97/29,985.69
  6. Step 6: Final answer
    x = 24,028.53

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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.