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Finding the Fourth Proportional to 12,136.14, 18,195.03 and 6,289.02

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Solution

The fourth proportional to 12,136.14, 18,195.03 and 6,289.02 is: 9,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.14 : 18,195.03 = 6,289.02 : x
  2. Step 2: Convert to fraction form
    12,136.14/18,195.03 = 6,289.02/x
  3. Step 3: Cross multiply
    12,136.14x = 18,195.03 × 6,289.02
  4. Step 4: Simplify right side
    12,136.14x = 114,428,907.57
  5. Step 5: Solve for x
    x = 114,428,907.57/12,136.14
  6. Step 6: Final answer
    x = 9,428.77

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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.