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Finding the Fourth Proportional to 17,625, 26,446.20 and 7,763.04

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Solution

The fourth proportional to 17,625, 26,446.20 and 7,763.04 is: 11,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625 : 26,446.20 = 7,763.04 : x
  2. Step 2: Convert to fraction form
    17,625/26,446.20 = 7,763.04/x
  3. Step 3: Cross multiply
    17,625x = 26,446.20 × 7,763.04
  4. Step 4: Simplify right side
    17,625x = 205,302,908.45
  5. Step 5: Solve for x
    x = 205,302,908.45/17,625
  6. Step 6: Final answer
    x = 11,648.39

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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.