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Finding the Fourth Proportional to 27,914.12, 41,844.94 and 9,433.16

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Solution

The fourth proportional to 27,914.12, 41,844.94 and 9,433.16 is: 14,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914.12 : 41,844.94 = 9,433.16 : x
  2. Step 2: Convert to fraction form
    27,914.12/41,844.94 = 9,433.16/x
  3. Step 3: Cross multiply
    27,914.12x = 41,844.94 × 9,433.16
  4. Step 4: Simplify right side
    27,914.12x = 394,730,014.21
  5. Step 5: Solve for x
    x = 394,730,014.21/27,914.12
  6. Step 6: Final answer
    x = 14,140.87

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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.