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Finding the Fourth Proportional to 13,758.90, 20,623.92 and 6,729.21

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Solution

The fourth proportional to 13,758.90, 20,623.92 and 6,729.21 is: 10,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.90 : 20,623.92 = 6,729.21 : x
  2. Step 2: Convert to fraction form
    13,758.90/20,623.92 = 6,729.21/x
  3. Step 3: Cross multiply
    13,758.90x = 20,623.92 × 6,729.21
  4. Step 4: Simplify right side
    13,758.90x = 138,782,663.47
  5. Step 5: Solve for x
    x = 138,782,663.47/13,758.90
  6. Step 6: Final answer
    x = 10,086.76

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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.