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Finding the Fourth Proportional to 27,405.63, 41,076.20 and 12,395.31

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Solution

The fourth proportional to 27,405.63, 41,076.20 and 12,395.31 is: 18,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.63 : 41,076.20 = 12,395.31 : x
  2. Step 2: Convert to fraction form
    27,405.63/41,076.20 = 12,395.31/x
  3. Step 3: Cross multiply
    27,405.63x = 41,076.20 × 12,395.31
  4. Step 4: Simplify right side
    27,405.63x = 509,152,170.65
  5. Step 5: Solve for x
    x = 509,152,170.65/27,405.63
  6. Step 6: Final answer
    x = 18,578.38

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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.