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Finding the Fourth Proportional to 18,301.68, 27,448.20 and 8,434.80

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Solution

The fourth proportional to 18,301.68, 27,448.20 and 8,434.80 is: 12,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,301.68 : 27,448.20 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    18,301.68/27,448.20 = 8,434.80/x
  3. Step 3: Cross multiply
    18,301.68x = 27,448.20 × 8,434.80
  4. Step 4: Simplify right side
    18,301.68x = 231,520,077.36
  5. Step 5: Solve for x
    x = 231,520,077.36/18,301.68
  6. Step 6: Final answer
    x = 12,650.21

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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.