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Finding the Fourth Proportional to 12,109.34, 18,169.47 and 6,183.17

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Solution

The fourth proportional to 12,109.34, 18,169.47 and 6,183.17 is: 9,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.34 : 18,169.47 = 6,183.17 : x
  2. Step 2: Convert to fraction form
    12,109.34/18,169.47 = 6,183.17/x
  3. Step 3: Cross multiply
    12,109.34x = 18,169.47 × 6,183.17
  4. Step 4: Simplify right side
    12,109.34x = 112,344,830.97
  5. Step 5: Solve for x
    x = 112,344,830.97/12,109.34
  6. Step 6: Final answer
    x = 9,277.54

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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.