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Finding the Fourth Proportional to 17,171.39, 23,697.04 and 9,617.70

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Solution

The fourth proportional to 17,171.39, 23,697.04 and 9,617.70 is: 13,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.39 : 23,697.04 = 9,617.70 : x
  2. Step 2: Convert to fraction form
    17,171.39/23,697.04 = 9,617.70/x
  3. Step 3: Cross multiply
    17,171.39x = 23,697.04 × 9,617.70
  4. Step 4: Simplify right side
    17,171.39x = 227,911,021.61
  5. Step 5: Solve for x
    x = 227,911,021.61/17,171.39
  6. Step 6: Final answer
    x = 13,272.72

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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.