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Finding the Fourth Proportional to 12,136.05, 18,189.68 and 5,116.05

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Solution

The fourth proportional to 12,136.05, 18,189.68 and 5,116.05 is: 7,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.05 : 18,189.68 = 5,116.05 : x
  2. Step 2: Convert to fraction form
    12,136.05/18,189.68 = 5,116.05/x
  3. Step 3: Cross multiply
    12,136.05x = 18,189.68 × 5,116.05
  4. Step 4: Simplify right side
    12,136.05x = 93,059,286.78
  5. Step 5: Solve for x
    x = 93,059,286.78/12,136.05
  6. Step 6: Final answer
    x = 7,668.00

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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.