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Finding the Fourth Proportional to 12,425.70, 18,632.10 and 3,659.46

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Solution

The fourth proportional to 12,425.70, 18,632.10 and 3,659.46 is: 5,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.70 : 18,632.10 = 3,659.46 : x
  2. Step 2: Convert to fraction form
    12,425.70/18,632.10 = 3,659.46/x
  3. Step 3: Cross multiply
    12,425.70x = 18,632.10 × 3,659.46
  4. Step 4: Simplify right side
    12,425.70x = 68,183,424.67
  5. Step 5: Solve for x
    x = 68,183,424.67/12,425.70
  6. Step 6: Final answer
    x = 5,487.29

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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.