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Finding the Fourth Proportional to 27,136.91, 40,711.22 and 8,416.58

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Solution

The fourth proportional to 27,136.91, 40,711.22 and 8,416.58 is: 12,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136.91 : 40,711.22 = 8,416.58 : x
  2. Step 2: Convert to fraction form
    27,136.91/40,711.22 = 8,416.58/x
  3. Step 3: Cross multiply
    27,136.91x = 40,711.22 × 8,416.58
  4. Step 4: Simplify right side
    27,136.91x = 342,648,994.39
  5. Step 5: Solve for x
    x = 342,648,994.39/27,136.91
  6. Step 6: Final answer
    x = 12,626.68

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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.