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Finding the Fourth Proportional to 12,138.69, 18,193.44 and 5,115.99

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Solution

The fourth proportional to 12,138.69, 18,193.44 and 5,115.99 is: 7,667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.69 : 18,193.44 = 5,115.99 : x
  2. Step 2: Convert to fraction form
    12,138.69/18,193.44 = 5,115.99/x
  3. Step 3: Cross multiply
    12,138.69x = 18,193.44 × 5,115.99
  4. Step 4: Simplify right side
    12,138.69x = 93,077,457.11
  5. Step 5: Solve for x
    x = 93,077,457.11/12,138.69
  6. Step 6: Final answer
    x = 7,667.83

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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.