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Finding the Fourth Proportional to 17,204.58, 25,806.81 and 11,359.80

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Solution

The fourth proportional to 17,204.58, 25,806.81 and 11,359.80 is: 17,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.58 : 25,806.81 = 11,359.80 : x
  2. Step 2: Convert to fraction form
    17,204.58/25,806.81 = 11,359.80/x
  3. Step 3: Cross multiply
    17,204.58x = 25,806.81 × 11,359.80
  4. Step 4: Simplify right side
    17,204.58x = 293,160,200.24
  5. Step 5: Solve for x
    x = 293,160,200.24/17,204.58
  6. Step 6: Final answer
    x = 17,039.66

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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.