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Finding the Fourth Proportional to 12,097.38, 18,138.18 and 5,081.88

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Solution

The fourth proportional to 12,097.38, 18,138.18 and 5,081.88 is: 7,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.38 : 18,138.18 = 5,081.88 : x
  2. Step 2: Convert to fraction form
    12,097.38/18,138.18 = 5,081.88/x
  3. Step 3: Cross multiply
    12,097.38x = 18,138.18 × 5,081.88
  4. Step 4: Simplify right side
    12,097.38x = 92,176,054.18
  5. Step 5: Solve for x
    x = 92,176,054.18/12,097.38
  6. Step 6: Final answer
    x = 7,619.51

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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.