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Finding the Fourth Proportional to 13,197.76, 19,796.56 and 5,406.56

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Solution

The fourth proportional to 13,197.76, 19,796.56 and 5,406.56 is: 8,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.76 : 19,796.56 = 5,406.56 : x
  2. Step 2: Convert to fraction form
    13,197.76/19,796.56 = 5,406.56/x
  3. Step 3: Cross multiply
    13,197.76x = 19,796.56 × 5,406.56
  4. Step 4: Simplify right side
    13,197.76x = 107,031,289.43
  5. Step 5: Solve for x
    x = 107,031,289.43/13,197.76
  6. Step 6: Final answer
    x = 8,109.81

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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.