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Finding the Fourth Proportional to 17,206.20, 25,794.42 and 10,266.20

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Solution

The fourth proportional to 17,206.20, 25,794.42 and 10,266.20 is: 15,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.20 : 25,794.42 = 10,266.20 : x
  2. Step 2: Convert to fraction form
    17,206.20/25,794.42 = 10,266.20/x
  3. Step 3: Cross multiply
    17,206.20x = 25,794.42 × 10,266.20
  4. Step 4: Simplify right side
    17,206.20x = 264,810,674.60
  5. Step 5: Solve for x
    x = 264,810,674.60/17,206.20
  6. Step 6: Final answer
    x = 15,390.42

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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.