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Finding the Fourth Proportional to 27,861.69, 41,763.18 and 9,136.84

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Solution

The fourth proportional to 27,861.69, 41,763.18 and 9,136.84 is: 13,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.69 : 41,763.18 = 9,136.84 : x
  2. Step 2: Convert to fraction form
    27,861.69/41,763.18 = 9,136.84/x
  3. Step 3: Cross multiply
    27,861.69x = 41,763.18 × 9,136.84
  4. Step 4: Simplify right side
    27,861.69x = 381,583,493.55
  5. Step 5: Solve for x
    x = 381,583,493.55/27,861.69
  6. Step 6: Final answer
    x = 13,695.63

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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.