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Finding the Fourth Proportional to 17,010, 25,496.78 and 8,225.55

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Solution

The fourth proportional to 17,010, 25,496.78 and 8,225.55 is: 12,329.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,010 : 25,496.78 = 8,225.55 : x
  2. Step 2: Convert to fraction form
    17,010/25,496.78 = 8,225.55/x
  3. Step 3: Cross multiply
    17,010x = 25,496.78 × 8,225.55
  4. Step 4: Simplify right side
    17,010x = 209,724,997.60
  5. Step 5: Solve for x
    x = 209,724,997.60/17,010
  6. Step 6: Final answer
    x = 12,329.51

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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.