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Finding the Fourth Proportional to 27,739.36, 41,622.71 and 17,206.68

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Solution

The fourth proportional to 27,739.36, 41,622.71 and 17,206.68 is: 25,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.36 : 41,622.71 = 17,206.68 : x
  2. Step 2: Convert to fraction form
    27,739.36/41,622.71 = 17,206.68/x
  3. Step 3: Cross multiply
    27,739.36x = 41,622.71 × 17,206.68
  4. Step 4: Simplify right side
    27,739.36x = 716,188,584.41
  5. Step 5: Solve for x
    x = 716,188,584.41/27,739.36
  6. Step 6: Final answer
    x = 25,818.50

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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.