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Finding the Fourth Proportional to 13,813.54, 20,727.44 and 7,576.45

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Solution

The fourth proportional to 13,813.54, 20,727.44 and 7,576.45 is: 11,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.54 : 20,727.44 = 7,576.45 : x
  2. Step 2: Convert to fraction form
    13,813.54/20,727.44 = 7,576.45/x
  3. Step 3: Cross multiply
    13,813.54x = 20,727.44 × 7,576.45
  4. Step 4: Simplify right side
    13,813.54x = 157,040,412.79
  5. Step 5: Solve for x
    x = 157,040,412.79/13,813.54
  6. Step 6: Final answer
    x = 11,368.59

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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.