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Finding the Fourth Proportional to 27,136.65, 40,710.78 and 8,416.28

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Solution

The fourth proportional to 27,136.65, 40,710.78 and 8,416.28 is: 12,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.65 : 40,710.78 = 8,416.28 : x
  2. Step 2: Convert to fraction form
    27,136.65/40,710.78 = 8,416.28/x
  3. Step 3: Cross multiply
    27,136.65x = 40,710.78 × 8,416.28
  4. Step 4: Simplify right side
    27,136.65x = 342,633,119.94
  5. Step 5: Solve for x
    x = 342,633,119.94/27,136.65
  6. Step 6: Final answer
    x = 12,626.21

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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.