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Finding the Fourth Proportional to 27,679.05, 38,201.97 and 16,347.78

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Solution

The fourth proportional to 27,679.05, 38,201.97 and 16,347.78 is: 22,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,679.05 : 38,201.97 = 16,347.78 : x
  2. Step 2: Convert to fraction form
    27,679.05/38,201.97 = 16,347.78/x
  3. Step 3: Cross multiply
    27,679.05x = 38,201.97 × 16,347.78
  4. Step 4: Simplify right side
    27,679.05x = 624,517,401.13
  5. Step 5: Solve for x
    x = 624,517,401.13/27,679.05
  6. Step 6: Final answer
    x = 22,562.82

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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.