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Finding the Fourth Proportional to 27,410.85, 41,083.16 and 13,349.80

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Solution

The fourth proportional to 27,410.85, 41,083.16 and 13,349.80 is: 20,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.85 : 41,083.16 = 13,349.80 : x
  2. Step 2: Convert to fraction form
    27,410.85/41,083.16 = 13,349.80/x
  3. Step 3: Cross multiply
    27,410.85x = 41,083.16 × 13,349.80
  4. Step 4: Simplify right side
    27,410.85x = 548,452,107.07
  5. Step 5: Solve for x
    x = 548,452,107.07/27,410.85
  6. Step 6: Final answer
    x = 20,008.58

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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.