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Finding the Fourth Proportional to 12,099.39, 18,140.09 and 5,081.46

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Solution

The fourth proportional to 12,099.39, 18,140.09 and 5,081.46 is: 7,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.39 : 18,140.09 = 5,081.46 : x
  2. Step 2: Convert to fraction form
    12,099.39/18,140.09 = 5,081.46/x
  3. Step 3: Cross multiply
    12,099.39x = 18,140.09 × 5,081.46
  4. Step 4: Simplify right side
    12,099.39x = 92,178,116.32
  5. Step 5: Solve for x
    x = 92,178,116.32/12,099.39
  6. Step 6: Final answer
    x = 7,618.41

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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.