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Finding the Fourth Proportional to 12,190.86, 18,287 and 3,426.45

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Solution

The fourth proportional to 12,190.86, 18,287 and 3,426.45 is: 5,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.86 : 18,287 = 3,426.45 : x
  2. Step 2: Convert to fraction form
    12,190.86/18,287 = 3,426.45/x
  3. Step 3: Cross multiply
    12,190.86x = 18,287 × 3,426.45
  4. Step 4: Simplify right side
    12,190.86x = 62,659,491.15
  5. Step 5: Solve for x
    x = 62,659,491.15/12,190.86
  6. Step 6: Final answer
    x = 5,139.87

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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.