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Finding the Fourth Proportional to 12,424.65, 18,636.94 and 3,659.64

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Solution

The fourth proportional to 12,424.65, 18,636.94 and 3,659.64 is: 5,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.65 : 18,636.94 = 3,659.64 : x
  2. Step 2: Convert to fraction form
    12,424.65/18,636.94 = 3,659.64/x
  3. Step 3: Cross multiply
    12,424.65x = 18,636.94 × 3,659.64
  4. Step 4: Simplify right side
    12,424.65x = 68,204,491.10
  5. Step 5: Solve for x
    x = 68,204,491.10/12,424.65
  6. Step 6: Final answer
    x = 5,489.45

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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.