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Finding the Fourth Proportional to 27,405.41, 41,083.38 and 9,862.88

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Solution

The fourth proportional to 27,405.41, 41,083.38 and 9,862.88 is: 14,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.41 : 41,083.38 = 9,862.88 : x
  2. Step 2: Convert to fraction form
    27,405.41/41,083.38 = 9,862.88/x
  3. Step 3: Cross multiply
    27,405.41x = 41,083.38 × 9,862.88
  4. Step 4: Simplify right side
    27,405.41x = 405,200,241.52
  5. Step 5: Solve for x
    x = 405,200,241.52/27,405.41
  6. Step 6: Final answer
    x = 14,785.41

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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.