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Finding the Fourth Proportional to 27,629.60, 41,448.52 and 9,858.87

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Solution

The fourth proportional to 27,629.60, 41,448.52 and 9,858.87 is: 14,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,629.60 : 41,448.52 = 9,858.87 : x
  2. Step 2: Convert to fraction form
    27,629.60/41,448.52 = 9,858.87/x
  3. Step 3: Cross multiply
    27,629.60x = 41,448.52 × 9,858.87
  4. Step 4: Simplify right side
    27,629.60x = 408,635,624.70
  5. Step 5: Solve for x
    x = 408,635,624.70/27,629.60
  6. Step 6: Final answer
    x = 14,789.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.