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Finding the Fourth Proportional to 12,188.49, 18,282.75 and 4,397.31

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Solution

The fourth proportional to 12,188.49, 18,282.75 and 4,397.31 is: 6,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.49 : 18,282.75 = 4,397.31 : x
  2. Step 2: Convert to fraction form
    12,188.49/18,282.75 = 4,397.31/x
  3. Step 3: Cross multiply
    12,188.49x = 18,282.75 × 4,397.31
  4. Step 4: Simplify right side
    12,188.49x = 80,394,919.40
  5. Step 5: Solve for x
    x = 80,394,919.40/12,188.49
  6. Step 6: Final answer
    x = 6,595.97

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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.