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Finding the Fourth Proportional to 17,306.50, 25,963 and 8,072.50

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Solution

The fourth proportional to 17,306.50, 25,963 and 8,072.50 is: 12,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,306.50 : 25,963 = 8,072.50 : x
  2. Step 2: Convert to fraction form
    17,306.50/25,963 = 8,072.50/x
  3. Step 3: Cross multiply
    17,306.50x = 25,963 × 8,072.50
  4. Step 4: Simplify right side
    17,306.50x = 209,586,317.50
  5. Step 5: Solve for x
    x = 209,586,317.50/17,306.50
  6. Step 6: Final answer
    x = 12,110.27

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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.