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Finding the Fourth Proportional to 27,544.40, 41,318.18 and 7,821.42

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Solution

The fourth proportional to 27,544.40, 41,318.18 and 7,821.42 is: 11,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544.40 : 41,318.18 = 7,821.42 : x
  2. Step 2: Convert to fraction form
    27,544.40/41,318.18 = 7,821.42/x
  3. Step 3: Cross multiply
    27,544.40x = 41,318.18 × 7,821.42
  4. Step 4: Simplify right side
    27,544.40x = 323,166,839.42
  5. Step 5: Solve for x
    x = 323,166,839.42/27,544.40
  6. Step 6: Final answer
    x = 11,732.58

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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.