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Finding the Fourth Proportional to 12,288.38, 18,432.57 and 4,080.38

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Solution

The fourth proportional to 12,288.38, 18,432.57 and 4,080.38 is: 6,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.38 : 18,432.57 = 4,080.38 : x
  2. Step 2: Convert to fraction form
    12,288.38/18,432.57 = 4,080.38/x
  3. Step 3: Cross multiply
    12,288.38x = 18,432.57 × 4,080.38
  4. Step 4: Simplify right side
    12,288.38x = 75,211,889.98
  5. Step 5: Solve for x
    x = 75,211,889.98/12,288.38
  6. Step 6: Final answer
    x = 6,120.57

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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.