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Finding the Fourth Proportional to 17,891.79, 26,842.50 and 6,205.02

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Solution

The fourth proportional to 17,891.79, 26,842.50 and 6,205.02 is: 9,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,891.79 : 26,842.50 = 6,205.02 : x
  2. Step 2: Convert to fraction form
    17,891.79/26,842.50 = 6,205.02/x
  3. Step 3: Cross multiply
    17,891.79x = 26,842.50 × 6,205.02
  4. Step 4: Simplify right side
    17,891.79x = 166,558,249.35
  5. Step 5: Solve for x
    x = 166,558,249.35/17,891.79
  6. Step 6: Final answer
    x = 9,309.20

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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.