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Finding the Fourth Proportional to 12,227.96, 18,331.00 and 5,984.07

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Solution

The fourth proportional to 12,227.96, 18,331.00 and 5,984.07 is: 8,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.96 : 18,331.00 = 5,984.07 : x
  2. Step 2: Convert to fraction form
    12,227.96/18,331.00 = 5,984.07/x
  3. Step 3: Cross multiply
    12,227.96x = 18,331.00 × 5,984.07
  4. Step 4: Simplify right side
    12,227.96x = 109,693,972.21
  5. Step 5: Solve for x
    x = 109,693,972.21/12,227.96
  6. Step 6: Final answer
    x = 8,970.75

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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.