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Finding the Fourth Proportional to 17,206.58, 25,809.80 and 11,361.80

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Solution

The fourth proportional to 17,206.58, 25,809.80 and 11,361.80 is: 17,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.58 : 25,809.80 = 11,361.80 : x
  2. Step 2: Convert to fraction form
    17,206.58/25,809.80 = 11,361.80/x
  3. Step 3: Cross multiply
    17,206.58x = 25,809.80 × 11,361.80
  4. Step 4: Simplify right side
    17,206.58x = 293,245,785.64
  5. Step 5: Solve for x
    x = 293,245,785.64/17,206.58
  6. Step 6: Final answer
    x = 17,042.65

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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.