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Finding the Fourth Proportional to 23,584.80, 35,434.80 and 17,752.80

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Solution

The fourth proportional to 23,584.80, 35,434.80 and 17,752.80 is: 26,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.80 : 35,434.80 = 17,752.80 : x
  2. Step 2: Convert to fraction form
    23,584.80/35,434.80 = 17,752.80/x
  3. Step 3: Cross multiply
    23,584.80x = 35,434.80 × 17,752.80
  4. Step 4: Simplify right side
    23,584.80x = 629,066,917.44
  5. Step 5: Solve for x
    x = 629,066,917.44/23,584.80
  6. Step 6: Final answer
    x = 26,672.56

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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.