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Finding the Fourth Proportional to 17,412.67, 26,122.25 and 5,734.09

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Solution

The fourth proportional to 17,412.67, 26,122.25 and 5,734.09 is: 8,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.67 : 26,122.25 = 5,734.09 : x
  2. Step 2: Convert to fraction form
    17,412.67/26,122.25 = 5,734.09/x
  3. Step 3: Cross multiply
    17,412.67x = 26,122.25 × 5,734.09
  4. Step 4: Simplify right side
    17,412.67x = 149,787,332.50
  5. Step 5: Solve for x
    x = 149,787,332.50/17,412.67
  6. Step 6: Final answer
    x = 8,602.20

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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.