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Finding the Fourth Proportional to 17,197.38, 23,726.97 and 9,642.60

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Solution

The fourth proportional to 17,197.38, 23,726.97 and 9,642.60 is: 13,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.38 : 23,726.97 = 9,642.60 : x
  2. Step 2: Convert to fraction form
    17,197.38/23,726.97 = 9,642.60/x
  3. Step 3: Cross multiply
    17,197.38x = 23,726.97 × 9,642.60
  4. Step 4: Simplify right side
    17,197.38x = 228,789,680.92
  5. Step 5: Solve for x
    x = 228,789,680.92/17,197.38
  6. Step 6: Final answer
    x = 13,303.75

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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.