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Finding the Fourth Proportional to 27,463.22, 41,136.50 and 18,584

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Solution

The fourth proportional to 27,463.22, 41,136.50 and 18,584 is: 27,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463.22 : 41,136.50 = 18,584 : x
  2. Step 2: Convert to fraction form
    27,463.22/41,136.50 = 18,584/x
  3. Step 3: Cross multiply
    27,463.22x = 41,136.50 × 18,584
  4. Step 4: Simplify right side
    27,463.22x = 764,480,716
  5. Step 5: Solve for x
    x = 764,480,716/27,463.22
  6. Step 6: Final answer
    x = 27,836.53

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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.