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Finding the Fourth Proportional to 12,192.50, 18,288.76 and 3,984.50

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Solution

The fourth proportional to 12,192.50, 18,288.76 and 3,984.50 is: 5,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.50 : 18,288.76 = 3,984.50 : x
  2. Step 2: Convert to fraction form
    12,192.50/18,288.76 = 3,984.50/x
  3. Step 3: Cross multiply
    12,192.50x = 18,288.76 × 3,984.50
  4. Step 4: Simplify right side
    12,192.50x = 72,871,564.22
  5. Step 5: Solve for x
    x = 72,871,564.22/12,192.50
  6. Step 6: Final answer
    x = 5,976.75

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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.