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Finding the Fourth Proportional to 12,282.98, 18,424.39 and 3,517.89

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Solution

The fourth proportional to 12,282.98, 18,424.39 and 3,517.89 is: 5,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.98 : 18,424.39 = 3,517.89 : x
  2. Step 2: Convert to fraction form
    12,282.98/18,424.39 = 3,517.89/x
  3. Step 3: Cross multiply
    12,282.98x = 18,424.39 × 3,517.89
  4. Step 4: Simplify right side
    12,282.98x = 64,814,977.34
  5. Step 5: Solve for x
    x = 64,814,977.34/12,282.98
  6. Step 6: Final answer
    x = 5,276.81

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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.