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Finding the Fourth Proportional to 17,074.26, 25,614.09 and 7,214.94

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Solution

The fourth proportional to 17,074.26, 25,614.09 and 7,214.94 is: 10,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.26 : 25,614.09 = 7,214.94 : x
  2. Step 2: Convert to fraction form
    17,074.26/25,614.09 = 7,214.94/x
  3. Step 3: Cross multiply
    17,074.26x = 25,614.09 × 7,214.94
  4. Step 4: Simplify right side
    17,074.26x = 184,804,122.50
  5. Step 5: Solve for x
    x = 184,804,122.50/17,074.26
  6. Step 6: Final answer
    x = 10,823.55

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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.