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Finding the Fourth Proportional to 17,205.24, 25,805.70 and 6,817.80

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Solution

The fourth proportional to 17,205.24, 25,805.70 and 6,817.80 is: 10,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.24 : 25,805.70 = 6,817.80 : x
  2. Step 2: Convert to fraction form
    17,205.24/25,805.70 = 6,817.80/x
  3. Step 3: Cross multiply
    17,205.24x = 25,805.70 × 6,817.80
  4. Step 4: Simplify right side
    17,205.24x = 175,938,101.46
  5. Step 5: Solve for x
    x = 175,938,101.46/17,205.24
  6. Step 6: Final answer
    x = 10,225.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.