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Finding the Fourth Proportional to 12,116.15, 18,179.96 and 5,097.70

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Solution

The fourth proportional to 12,116.15, 18,179.96 and 5,097.70 is: 7,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.15 : 18,179.96 = 5,097.70 : x
  2. Step 2: Convert to fraction form
    12,116.15/18,179.96 = 5,097.70/x
  3. Step 3: Cross multiply
    12,116.15x = 18,179.96 × 5,097.70
  4. Step 4: Simplify right side
    12,116.15x = 92,675,982.09
  5. Step 5: Solve for x
    x = 92,675,982.09/12,116.15
  6. Step 6: Final answer
    x = 7,648.96

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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.