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Finding the Fourth Proportional to 29,711.82, 41,001.03 and 17,768.10

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Solution

The fourth proportional to 29,711.82, 41,001.03 and 17,768.10 is: 24,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.82 : 41,001.03 = 17,768.10 : x
  2. Step 2: Convert to fraction form
    29,711.82/41,001.03 = 17,768.10/x
  3. Step 3: Cross multiply
    29,711.82x = 41,001.03 × 17,768.10
  4. Step 4: Simplify right side
    29,711.82x = 728,510,401.14
  5. Step 5: Solve for x
    x = 728,510,401.14/29,711.82
  6. Step 6: Final answer
    x = 24,519.21

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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.