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Finding the Fourth Proportional to 27,207.26, 40,786.29 and 9,673.01

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Solution

The fourth proportional to 27,207.26, 40,786.29 and 9,673.01 is: 14,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207.26 : 40,786.29 = 9,673.01 : x
  2. Step 2: Convert to fraction form
    27,207.26/40,786.29 = 9,673.01/x
  3. Step 3: Cross multiply
    27,207.26x = 40,786.29 × 9,673.01
  4. Step 4: Simplify right side
    27,207.26x = 394,525,987.10
  5. Step 5: Solve for x
    x = 394,525,987.10/27,207.26
  6. Step 6: Final answer
    x = 14,500.76

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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.