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Finding the Fourth Proportional to 14,040.36, 19,375.72 and 7,667

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Solution

The fourth proportional to 14,040.36, 19,375.72 and 7,667 is: 10,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040.36 : 19,375.72 = 7,667 : x
  2. Step 2: Convert to fraction form
    14,040.36/19,375.72 = 7,667/x
  3. Step 3: Cross multiply
    14,040.36x = 19,375.72 × 7,667
  4. Step 4: Simplify right side
    14,040.36x = 148,553,645.24
  5. Step 5: Solve for x
    x = 148,553,645.24/14,040.36
  6. Step 6: Final answer
    x = 10,580.47

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