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Finding the Fourth Proportional to 27,941.87, 41,908.70 and 9,222.53

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Solution

The fourth proportional to 27,941.87, 41,908.70 and 9,222.53 is: 13,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.87 : 41,908.70 = 9,222.53 : x
  2. Step 2: Convert to fraction form
    27,941.87/41,908.70 = 9,222.53/x
  3. Step 3: Cross multiply
    27,941.87x = 41,908.70 × 9,222.53
  4. Step 4: Simplify right side
    27,941.87x = 386,504,056.52
  5. Step 5: Solve for x
    x = 386,504,056.52/27,941.87
  6. Step 6: Final answer
    x = 13,832.43

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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.