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Finding the Fourth Proportional to 17,205.30, 25,795.80 and 7,849.80

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Solution

The fourth proportional to 17,205.30, 25,795.80 and 7,849.80 is: 11,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.30 : 25,795.80 = 7,849.80 : x
  2. Step 2: Convert to fraction form
    17,205.30/25,795.80 = 7,849.80/x
  3. Step 3: Cross multiply
    17,205.30x = 25,795.80 × 7,849.80
  4. Step 4: Simplify right side
    17,205.30x = 202,491,870.84
  5. Step 5: Solve for x
    x = 202,491,870.84/17,205.30
  6. Step 6: Final answer
    x = 11,769.16

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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.