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Finding the Fourth Proportional to 17,209.50, 25,772.68 and 9,791.47

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Solution

The fourth proportional to 17,209.50, 25,772.68 and 9,791.47 is: 14,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.50 : 25,772.68 = 9,791.47 : x
  2. Step 2: Convert to fraction form
    17,209.50/25,772.68 = 9,791.47/x
  3. Step 3: Cross multiply
    17,209.50x = 25,772.68 × 9,791.47
  4. Step 4: Simplify right side
    17,209.50x = 252,352,423.04
  5. Step 5: Solve for x
    x = 252,352,423.04/17,209.50
  6. Step 6: Final answer
    x = 14,663.55

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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.