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Finding the Fourth Proportional to 12,397.92, 18,597.23 and 3,632.84

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Solution

The fourth proportional to 12,397.92, 18,597.23 and 3,632.84 is: 5,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.92 : 18,597.23 = 3,632.84 : x
  2. Step 2: Convert to fraction form
    12,397.92/18,597.23 = 3,632.84/x
  3. Step 3: Cross multiply
    12,397.92x = 18,597.23 × 3,632.84
  4. Step 4: Simplify right side
    12,397.92x = 67,560,761.03
  5. Step 5: Solve for x
    x = 67,560,761.03/12,397.92
  6. Step 6: Final answer
    x = 5,449.36

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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.