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Finding the Fourth Proportional to 12,191.39, 18,289.36 and 3,869.16

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Solution

The fourth proportional to 12,191.39, 18,289.36 and 3,869.16 is: 5,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.39 : 18,289.36 = 3,869.16 : x
  2. Step 2: Convert to fraction form
    12,191.39/18,289.36 = 3,869.16/x
  3. Step 3: Cross multiply
    12,191.39x = 18,289.36 × 3,869.16
  4. Step 4: Simplify right side
    12,191.39x = 70,764,460.14
  5. Step 5: Solve for x
    x = 70,764,460.14/12,191.39
  6. Step 6: Final answer
    x = 5,804.46

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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.