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Finding the Fourth Proportional to 27,857.12, 41,788.08 and 10,327.08

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Solution

The fourth proportional to 27,857.12, 41,788.08 and 10,327.08 is: 15,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.12 : 41,788.08 = 10,327.08 : x
  2. Step 2: Convert to fraction form
    27,857.12/41,788.08 = 10,327.08/x
  3. Step 3: Cross multiply
    27,857.12x = 41,788.08 × 10,327.08
  4. Step 4: Simplify right side
    27,857.12x = 431,548,845.21
  5. Step 5: Solve for x
    x = 431,548,845.21/27,857.12
  6. Step 6: Final answer
    x = 15,491.51

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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.