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Finding the Fourth Proportional to 13,531.50, 20,297.82 and 5,208.54

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Solution

The fourth proportional to 13,531.50, 20,297.82 and 5,208.54 is: 7,813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.50 : 20,297.82 = 5,208.54 : x
  2. Step 2: Convert to fraction form
    13,531.50/20,297.82 = 5,208.54/x
  3. Step 3: Cross multiply
    13,531.50x = 20,297.82 × 5,208.54
  4. Step 4: Simplify right side
    13,531.50x = 105,722,007.38
  5. Step 5: Solve for x
    x = 105,722,007.38/13,531.50
  6. Step 6: Final answer
    x = 7,813.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.