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Finding the Fourth Proportional to 13,811.96, 20,727.02 and 7,576.35

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Solution

The fourth proportional to 13,811.96, 20,727.02 and 7,576.35 is: 11,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.96 : 20,727.02 = 7,576.35 : x
  2. Step 2: Convert to fraction form
    13,811.96/20,727.02 = 7,576.35/x
  3. Step 3: Cross multiply
    13,811.96x = 20,727.02 × 7,576.35
  4. Step 4: Simplify right side
    13,811.96x = 157,035,157.98
  5. Step 5: Solve for x
    x = 157,035,157.98/13,811.96
  6. Step 6: Final answer
    x = 11,369.51

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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.