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Finding the Fourth Proportional to 27,644.84, 41,473.52 and 10,114.67

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Solution

The fourth proportional to 27,644.84, 41,473.52 and 10,114.67 is: 15,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.84 : 41,473.52 = 10,114.67 : x
  2. Step 2: Convert to fraction form
    27,644.84/41,473.52 = 10,114.67/x
  3. Step 3: Cross multiply
    27,644.84x = 41,473.52 × 10,114.67
  4. Step 4: Simplify right side
    27,644.84x = 419,491,059.58
  5. Step 5: Solve for x
    x = 419,491,059.58/27,644.84
  6. Step 6: Final answer
    x = 15,174.30

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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.