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Finding the Fourth Proportional to 39,846.72, 59,769.36 and 12,144

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Solution

The fourth proportional to 39,846.72, 59,769.36 and 12,144 is: 18,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846.72 : 59,769.36 = 12,144 : x
  2. Step 2: Convert to fraction form
    39,846.72/59,769.36 = 12,144/x
  3. Step 3: Cross multiply
    39,846.72x = 59,769.36 × 12,144
  4. Step 4: Simplify right side
    39,846.72x = 725,839,107.84
  5. Step 5: Solve for x
    x = 725,839,107.84/39,846.72
  6. Step 6: Final answer
    x = 18,215.78

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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.