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Finding the Fourth Proportional to 13,548.27, 20,322.42 and 7,311.21

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Solution

The fourth proportional to 13,548.27, 20,322.42 and 7,311.21 is: 10,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.27 : 20,322.42 = 7,311.21 : x
  2. Step 2: Convert to fraction form
    13,548.27/20,322.42 = 7,311.21/x
  3. Step 3: Cross multiply
    13,548.27x = 20,322.42 × 7,311.21
  4. Step 4: Simplify right side
    13,548.27x = 148,581,480.33
  5. Step 5: Solve for x
    x = 148,581,480.33/13,548.27
  6. Step 6: Final answer
    x = 10,966.82

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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.