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Finding the Fourth Proportional to 13,193.33, 18,207.02 and 8,157.43

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Solution

The fourth proportional to 13,193.33, 18,207.02 and 8,157.43 is: 11,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.33 : 18,207.02 = 8,157.43 : x
  2. Step 2: Convert to fraction form
    13,193.33/18,207.02 = 8,157.43/x
  3. Step 3: Cross multiply
    13,193.33x = 18,207.02 × 8,157.43
  4. Step 4: Simplify right side
    13,193.33x = 148,522,359.34
  5. Step 5: Solve for x
    x = 148,522,359.34/13,193.33
  6. Step 6: Final answer
    x = 11,257.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.