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Finding the Fourth Proportional to 12,298.20, 18,446.22 and 3,532.92

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Solution

The fourth proportional to 12,298.20, 18,446.22 and 3,532.92 is: 5,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.20 : 18,446.22 = 3,532.92 : x
  2. Step 2: Convert to fraction form
    12,298.20/18,446.22 = 3,532.92/x
  3. Step 3: Cross multiply
    12,298.20x = 18,446.22 × 3,532.92
  4. Step 4: Simplify right side
    12,298.20x = 65,169,019.56
  5. Step 5: Solve for x
    x = 65,169,019.56/12,298.20
  6. Step 6: Final answer
    x = 5,299.07

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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.