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Finding the Fourth Proportional to 12,243.20, 18,364.46 and 3,478

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Solution

The fourth proportional to 12,243.20, 18,364.46 and 3,478 is: 5,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.20 : 18,364.46 = 3,478 : x
  2. Step 2: Convert to fraction form
    12,243.20/18,364.46 = 3,478/x
  3. Step 3: Cross multiply
    12,243.20x = 18,364.46 × 3,478
  4. Step 4: Simplify right side
    12,243.20x = 63,871,591.88
  5. Step 5: Solve for x
    x = 63,871,591.88/12,243.20
  6. Step 6: Final answer
    x = 5,216.90

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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.