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Finding the Fourth Proportional to 13,447.62, 20,157.54 and 5,125.41

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Solution

The fourth proportional to 13,447.62, 20,157.54 and 5,125.41 is: 7,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.62 : 20,157.54 = 5,125.41 : x
  2. Step 2: Convert to fraction form
    13,447.62/20,157.54 = 5,125.41/x
  3. Step 3: Cross multiply
    13,447.62x = 20,157.54 × 5,125.41
  4. Step 4: Simplify right side
    13,447.62x = 103,315,581.50
  5. Step 5: Solve for x
    x = 103,315,581.50/13,447.62
  6. Step 6: Final answer
    x = 7,682.81

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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.