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Finding the Fourth Proportional to 27,858.72, 41,789.07 and 9,139.20

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Solution

The fourth proportional to 27,858.72, 41,789.07 and 9,139.20 is: 13,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.72 : 41,789.07 = 9,139.20 : x
  2. Step 2: Convert to fraction form
    27,858.72/41,789.07 = 9,139.20/x
  3. Step 3: Cross multiply
    27,858.72x = 41,789.07 × 9,139.20
  4. Step 4: Simplify right side
    27,858.72x = 381,918,668.54
  5. Step 5: Solve for x
    x = 381,918,668.54/27,858.72
  6. Step 6: Final answer
    x = 13,709.12

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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.