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Finding the Fourth Proportional to 13,476.75, 18,609.38 and 8,449.39

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Solution

The fourth proportional to 13,476.75, 18,609.38 and 8,449.39 is: 11,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.75 : 18,609.38 = 8,449.39 : x
  2. Step 2: Convert to fraction form
    13,476.75/18,609.38 = 8,449.39/x
  3. Step 3: Cross multiply
    13,476.75x = 18,609.38 × 8,449.39
  4. Step 4: Simplify right side
    13,476.75x = 157,237,909.28
  5. Step 5: Solve for x
    x = 157,237,909.28/13,476.75
  6. Step 6: Final answer
    x = 11,667.35

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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.