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Finding the Fourth Proportional to 13,605.75, 18,771.21 and 8,570.39

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Solution

The fourth proportional to 13,605.75, 18,771.21 and 8,570.39 is: 11,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.75 : 18,771.21 = 8,570.39 : x
  2. Step 2: Convert to fraction form
    13,605.75/18,771.21 = 8,570.39/x
  3. Step 3: Cross multiply
    13,605.75x = 18,771.21 × 8,570.39
  4. Step 4: Simplify right side
    13,605.75x = 160,876,496.62
  5. Step 5: Solve for x
    x = 160,876,496.62/13,605.75
  6. Step 6: Final answer
    x = 11,824.15

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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.