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Finding the Fourth Proportional to 27,629.73, 38,134.02 and 16,298.58

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Solution

The fourth proportional to 27,629.73, 38,134.02 and 16,298.58 is: 22,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,629.73 : 38,134.02 = 16,298.58 : x
  2. Step 2: Convert to fraction form
    27,629.73/38,134.02 = 16,298.58/x
  3. Step 3: Cross multiply
    27,629.73x = 38,134.02 × 16,298.58
  4. Step 4: Simplify right side
    27,629.73x = 621,530,375.69
  5. Step 5: Solve for x
    x = 621,530,375.69/27,629.73
  6. Step 6: Final answer
    x = 22,494.99

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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.