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Finding the Fourth Proportional to 13,761.64, 18,992.23 and 7,794.37

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Solution

The fourth proportional to 13,761.64, 18,992.23 and 7,794.37 is: 10,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.64 : 18,992.23 = 7,794.37 : x
  2. Step 2: Convert to fraction form
    13,761.64/18,992.23 = 7,794.37/x
  3. Step 3: Cross multiply
    13,761.64x = 18,992.23 × 7,794.37
  4. Step 4: Simplify right side
    13,761.64x = 148,032,372.78
  5. Step 5: Solve for x
    x = 148,032,372.78/13,761.64
  6. Step 6: Final answer
    x = 10,756.89

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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.