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Finding the Fourth Proportional to 14,040.38, 19,375.72 and 9,072.38

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Solution

The fourth proportional to 14,040.38, 19,375.72 and 9,072.38 is: 12,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040.38 : 19,375.72 = 9,072.38 : x
  2. Step 2: Convert to fraction form
    14,040.38/19,375.72 = 9,072.38/x
  3. Step 3: Cross multiply
    14,040.38x = 19,375.72 × 9,072.38
  4. Step 4: Simplify right side
    14,040.38x = 175,783,775.05
  5. Step 5: Solve for x
    x = 175,783,775.05/14,040.38
  6. Step 6: Final answer
    x = 12,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.