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Finding the Fourth Proportional to 17,209.38, 23,743.53 and 9,654.60

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Solution

The fourth proportional to 17,209.38, 23,743.53 and 9,654.60 is: 13,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.38 : 23,743.53 = 9,654.60 : x
  2. Step 2: Convert to fraction form
    17,209.38/23,743.53 = 9,654.60/x
  3. Step 3: Cross multiply
    17,209.38x = 23,743.53 × 9,654.60
  4. Step 4: Simplify right side
    17,209.38x = 229,234,284.74
  5. Step 5: Solve for x
    x = 229,234,284.74/17,209.38
  6. Step 6: Final answer
    x = 13,320.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.