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Finding the Fourth Proportional to 12,424.34, 18,640.53 and 3,659.30

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Solution

The fourth proportional to 12,424.34, 18,640.53 and 3,659.30 is: 5,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.34 : 18,640.53 = 3,659.30 : x
  2. Step 2: Convert to fraction form
    12,424.34/18,640.53 = 3,659.30/x
  3. Step 3: Cross multiply
    12,424.34x = 18,640.53 × 3,659.30
  4. Step 4: Simplify right side
    12,424.34x = 68,211,291.43
  5. Step 5: Solve for x
    x = 68,211,291.43/12,424.34
  6. Step 6: Final answer
    x = 5,490.13

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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.