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Finding the Fourth Proportional to 17,211, 25,801.20 and 6,116.22

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Solution

The fourth proportional to 17,211, 25,801.20 and 6,116.22 is: 9,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211 : 25,801.20 = 6,116.22 : x
  2. Step 2: Convert to fraction form
    17,211/25,801.20 = 6,116.22/x
  3. Step 3: Cross multiply
    17,211x = 25,801.20 × 6,116.22
  4. Step 4: Simplify right side
    17,211x = 157,805,815.46
  5. Step 5: Solve for x
    x = 157,805,815.46/17,211
  6. Step 6: Final answer
    x = 9,168.89

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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.