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Finding the Fourth Proportional to 17,176.26, 25,756.41 and 7,815.90

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Solution

The fourth proportional to 17,176.26, 25,756.41 and 7,815.90 is: 11,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176.26 : 25,756.41 = 7,815.90 : x
  2. Step 2: Convert to fraction form
    17,176.26/25,756.41 = 7,815.90/x
  3. Step 3: Cross multiply
    17,176.26x = 25,756.41 × 7,815.90
  4. Step 4: Simplify right side
    17,176.26x = 201,309,524.92
  5. Step 5: Solve for x
    x = 201,309,524.92/17,176.26
  6. Step 6: Final answer
    x = 11,720.22

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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.