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Finding the Fourth Proportional to 12,166.75, 18,257.15 and 5,146.30

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Solution

The fourth proportional to 12,166.75, 18,257.15 and 5,146.30 is: 7,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.75 : 18,257.15 = 5,146.30 : x
  2. Step 2: Convert to fraction form
    12,166.75/18,257.15 = 5,146.30/x
  3. Step 3: Cross multiply
    12,166.75x = 18,257.15 × 5,146.30
  4. Step 4: Simplify right side
    12,166.75x = 93,956,771.05
  5. Step 5: Solve for x
    x = 93,956,771.05/12,166.75
  6. Step 6: Final answer
    x = 7,722.42

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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.