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Finding the Fourth Proportional to 13,963.88, 19,270.16 and 7,676.66

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Solution

The fourth proportional to 13,963.88, 19,270.16 and 7,676.66 is: 10,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.88 : 19,270.16 = 7,676.66 : x
  2. Step 2: Convert to fraction form
    13,963.88/19,270.16 = 7,676.66/x
  3. Step 3: Cross multiply
    13,963.88x = 19,270.16 × 7,676.66
  4. Step 4: Simplify right side
    13,963.88x = 147,930,331.73
  5. Step 5: Solve for x
    x = 147,930,331.73/13,963.88
  6. Step 6: Final answer
    x = 10,593.79

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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.