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Finding the Fourth Proportional to 13,613.99, 18,789.53 and 9,361.49

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Solution

The fourth proportional to 13,613.99, 18,789.53 and 9,361.49 is: 12,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.99 : 18,789.53 = 9,361.49 : x
  2. Step 2: Convert to fraction form
    13,613.99/18,789.53 = 9,361.49/x
  3. Step 3: Cross multiply
    13,613.99x = 18,789.53 × 9,361.49
  4. Step 4: Simplify right side
    13,613.99x = 175,897,856.44
  5. Step 5: Solve for x
    x = 175,897,856.44/13,613.99
  6. Step 6: Final answer
    x = 12,920.38

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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.