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Finding the Fourth Proportional to 16,466.14, 24,668.16 and 8,136.46

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Solution

The fourth proportional to 16,466.14, 24,668.16 and 8,136.46 is: 12,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.14 : 24,668.16 = 8,136.46 : x
  2. Step 2: Convert to fraction form
    16,466.14/24,668.16 = 8,136.46/x
  3. Step 3: Cross multiply
    16,466.14x = 24,668.16 × 8,136.46
  4. Step 4: Simplify right side
    16,466.14x = 200,711,497.11
  5. Step 5: Solve for x
    x = 200,711,497.11/16,466.14
  6. Step 6: Final answer
    x = 12,189.35

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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.